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31013444100 = 22352739911429
BaseRepresentation
bin11100111000100010…
…111001101000000100
32222001101021012022210
4130320202321220010
51002003420202400
622125233423420
72145353632242
oct347042715004
988041235283
1031013444100
111217530a641
12601640ab70
132c0332b672
141702c95792
15c17ab3950
hex7388b9a04

31013444100 has 144 divisors (see below), whose sum is σ = 91116945920. Its totient is φ = 8143027200.

The previous prime is 31013444071. The next prime is 31013444107. The reversal of 31013444100 is 144431013.

It is not an unprimeable number, because it can be changed into a prime (31013444107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21702186 + ... + 21703614.

Almost surely, 231013444100 is an apocalyptic number.

31013444100 is a gapful number since it is divisible by the number (30) 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 31013444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45558472960).

31013444100 is an abundant number, since it is smaller than the sum of its proper divisors (60103501820).

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

31013444100 is a wasteful number, since it uses less digits than its factorization.

31013444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31013444100 its reverse (144431013), we get a palindrome (31157875113).

The spelling of 31013444100 in words is "thirty-one billion, thirteen million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 991 1095 1429 1460 1825 1982 2190 2858 2973 3650 3964 4287 4380 4955 5475 5716 5946 7145 7300 8574 9910 10950 11892 14290 14865 17148 19820 21435 21900 24775 28580 29730 35725 42870 49550 59460 71450 72343 74325 85740 99100 104317 107175 142900 144686 148650 208634 214350 217029 289372 297300 312951 361715 417268 428700 434058 521585 625902 723430 868116 1043170 1085145 1251804 1416139 1446860 1564755 1808575 2086340 2170290 2607925 2832278 3129510 3617150 4248417 4340580 5215850 5425725 5664556 6259020 7080695 7234300 7823775 8496834 10431700 10851450 14161390 15647550 16993668 21242085 21702900 28322780 31295100 35403475 42484170 70806950 84968340 103378147 106210425 141613900 206756294 212420850 310134441 413512588 424841700 516890735 620268882 1033781470 1240537764 1550672205 2067562940 2584453675 3101344410 5168907350 6202688820 7753361025 10337814700 15506722050 31013444100