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100230044020 = 225411131796043
BaseRepresentation
bin101110101011000101…
…1010001100101110100
3100120201012111210022121
41131112023101211310
53120232342402040
6114013421405324
710145536213531
oct1352613214564
9316635453277
10100230044020
1139564279627
1217512a09844
1395b4385a72
144bcb823d88
15291952ac4a
hex17562d1974

100230044020 has 96 divisors (see below), whose sum is σ = 218776360320. Its totient is φ = 38545059840.

The previous prime is 100230044011. The next prime is 100230044041. The reversal of 100230044020 is 20440032001.

It is a super-2 number, since 2×1002300440202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100230043985 and 100230044003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16583119 + ... + 16589161.

It is an arithmetic number, because the mean of its divisors is an integer number (2278920420).

Almost surely, 2100230044020 is an apocalyptic number.

100230044020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100230044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109388180160).

100230044020 is an abundant number, since it is smaller than the sum of its proper divisors (118546316300).

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

100230044020 is a wasteful number, since it uses less digits than its factorization.

100230044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 100230044020 its reverse (20440032001), we get a palindrome (120670076021).

The spelling of 100230044020 in words is "one hundred billion, two hundred thirty million, forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 113 164 179 205 226 358 410 452 565 716 820 895 1130 1790 2260 3580 4633 6043 7339 9266 12086 14678 18532 20227 23165 24172 29356 30215 36695 40454 46330 60430 73390 80908 92660 101135 120860 146780 202270 247763 404540 495526 682859 829307 991052 1081697 1238815 1365718 1658614 2163394 2477630 2731436 3317228 3414295 4146535 4326788 4955260 5408485 6828590 8293070 10816970 13657180 16586140 21633940 27997219 44349577 55994438 88699154 111988876 122231761 139986095 177398308 221747885 244463522 279972190 443495770 488927044 559944380 611158805 886991540 1222317610 2444635220 5011502201 10023004402 20046008804 25057511005 50115022010 100230044020