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31404400100 = 22522316781761
BaseRepresentation
bin11101001111110110…
…010001110111100100
310000001121220211010122
4131033312101313210
51003304011300400
622232121141112
72161141665533
oct351766216744
9100047824118
1031404400100
1112355a68677
12610532a798
132c66324588
14173cb8431a
15c3c08c685
hex74fd91de4

31404400100 has 72 divisors (see below), whose sum is σ = 71537171328. Its totient is φ = 11943500800.

The previous prime is 31404400081. The next prime is 31404400163. The reversal of 31404400100 is 100440413.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343220 + ... + 424980.

It is an arithmetic number, because the mean of its divisors is an integer number (993571824).

Almost surely, 231404400100 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 31404400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35768585664).

31404400100 is an abundant number, since it is smaller than the sum of its proper divisors (40132771228).

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

31404400100 is a wasteful number, since it uses less digits than its factorization.

31404400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81965 (or 81958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 31404400100 its reverse (100440413), we get a palindrome (31504840513).

The spelling of 31404400100 in words is "thirty-one billion, four hundred four million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 167 230 334 460 575 668 835 1150 1670 2300 3340 3841 4175 7682 8350 15364 16700 19205 38410 76820 81761 96025 163522 192050 327044 384100 408805 817610 1635220 1880503 2044025 3761006 4088050 7522012 8176100 9402515 13654087 18805030 27308174 37610060 47012575 54616348 68270435 94025150 136540870 188050300 273081740 314044001 341352175 628088002 682704350 1256176004 1365408700 1570220005 3140440010 6280880020 7851100025 15702200050 31404400100