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100010006055024 = 243136125710223413
BaseRepresentation
bin10110101111010101100100…
…111000101000100001110000
3111010002212022021110210100020
4112233111210320220201300
5101102030443022230044
6552411543523123440
730031325116203312
oct2657254470504160
9433085267423306
10100010006055024
112995900718743a
12b272738813580
1343a5b98173470
141a9a71daad7b2
15b86752e76a19
hex5af564e28870

100010006055024 has 160 divisors (see below), whose sum is σ = 283894555877184. Its totient is φ = 30150068797440.

The previous prime is 100010006055017. The next prime is 100010006055031. The reversal of 100010006055024 is 420550600010001.

It is an interprime number because it is at equal distance from previous prime (100010006055017) and next prime (100010006055031).

It is a super-2 number, since 2×1000100060550242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100010006054985 and 100010006055003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4670742 + ... + 14894154.

Almost surely, 2100010006055024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010006055024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141947277938592).

100010006055024 is an abundant number, since it is smaller than the sum of its proper divisors (183884549822160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010006055024 is a wasteful number, since it uses less digits than its factorization.

100010006055024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223755 (or 10223749 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 100010006055024 its reverse (420550600010001), we get a palindrome (520560606065025).

The spelling of 100010006055024 in words is "one hundred trillion, ten billion, six million, fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 257 312 366 488 514 624 732 771 793 976 1028 1464 1542 1586 2056 2379 2928 3084 3172 3341 4112 4758 6168 6344 6682 9516 10023 12336 12688 13364 15677 19032 20046 26728 31354 38064 40092 47031 53456 62708 80184 94062 125416 160368 188124 203801 250832 376248 407602 611403 752496 815204 1222806 1630408 2445612 3260816 4891224 9782448 10223413 20446826 30670239 40893652 61340478 81787304 122680956 132904369 163574608 245361912 265808738 398713107 490723824 531617476 623628193 797426214 1063234952 1247256386 1594852428 1870884579 2126469904 2494512772 2627417141 3189704856 3741769158 4989025544 5254834282 6379409712 7483538316 7882251423 8107166509 9978051088 10509668564 14967076632 15764502846 16214333018 21019337128 24321499527 29934153264 31529005692 32428666036 34156422833 42038674256 48642999054 63058011384 64857332072 68312845666 97285998108 102469268499 126116022768 129714664144 136625691332 160272445601 194571996216 204938536998 273251382664 320544891202 389143992432 409877073996 480817336803 546502765328 641089782404 819754147992 961634673606 1282179564808 1639508295984 1923269347212 2083541792813 2564359129616 3846538694424 4167083585626 6250625378439 7693077388848 8334167171252 12501250756878 16668334342504 25002501513756 33336668685008 50005003027512 100010006055024