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100230402624 = 26311101469877
BaseRepresentation
bin101110101011000110…
…0101001001001000000
3100120201020012000020020
41131112030221021000
53120232440340444
6114013433213440
710145542236162
oct1352614511100
9316636160206
10100230402624
11395644a3aa0
1217512b61280
1395b4480061
144bcb8b8932
15291959c119
hex1756329240

100230402624 has 112 divisors (see below), whose sum is σ = 292166381376. Its totient is φ = 30072064000.

The previous prime is 100230402619. The next prime is 100230402659. The reversal of 100230402624 is 426204032001.

It is a super-2 number, since 2×1002304026242 (a number of 23 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 = 100230402594 and 100230402603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21627 + ... + 448250.

Almost surely, 2100230402624 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 100230402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146083190688).

100230402624 is an abundant number, since it is smaller than the sum of its proper divisors (191935978752).

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

100230402624 is a wasteful number, since it uses less digits than its factorization.

100230402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470004 (or 469994 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100230402624 its reverse (426204032001), we get a palindrome (526434434625).

The spelling of 100230402624 in words is "one hundred billion, two hundred thirty million, four hundred two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 132 176 192 202 264 303 352 404 528 606 704 808 1056 1111 1212 1616 2112 2222 2424 3232 3333 4444 4848 6464 6666 8888 9696 13332 17776 19392 26664 35552 53328 71104 106656 213312 469877 939754 1409631 1879508 2819262 3759016 5168647 5638524 7518032 10337294 11277048 15036064 15505941 20674588 22554096 30072128 31011882 41349176 45108192 47457577 62023764 82698352 90216384 94915154 124047528 142372731 165396704 189830308 248095056 284745462 330793408 379660616 496190112 522033347 569490924 759321232 992380224 1044066694 1138981848 1518642464 1566100041 2088133388 2277963696 3037284928 3132200082 4176266776 4555927392 6264400164 8352533552 9111854784 12528800328 16705067104 25057600656 33410134208 50115201312 100230402624