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31344444100 = 225229311512309
BaseRepresentation
bin11101001100010001…
…100100001011000100
32222220110002201222001
4131030101210023010
51003143134202400
622222140115044
72156513243644
oct351421441304
988813081861
1031344444100
1112325137862
1260a9235a84
132c56a91658
141734c18524
15c36b97a6a
hex74c4642c4

31344444100 has 144 divisors (see below), whose sum is σ = 73145318400. Its totient is φ = 11632320000.

The previous prime is 31344444097. The next prime is 31344444101. The reversal of 31344444100 is 144444313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31344444101) 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, 13573746 + ... + 13576054.

It is an arithmetic number, because the mean of its divisors is an integer number (507953600).

Almost surely, 231344444100 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 31344444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572659200).

31344444100 is an abundant number, since it is smaller than the sum of its proper divisors (41800874300).

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

31344444100 is a wasteful number, since it uses less digits than its factorization.

31344444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31344444100 its reverse (144444313), we get a palindrome (31488888413).

The spelling of 31344444100 in words is "thirty-one billion, three hundred forty-four million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 151 155 290 302 310 580 604 620 725 755 775 899 1450 1510 1550 1798 2309 2900 3020 3100 3596 3775 4379 4495 4618 4681 7550 8758 8990 9236 9362 11545 15100 17516 17980 18724 21895 22475 23090 23405 43790 44950 46180 46810 57725 66961 71579 87580 89900 93620 109475 115450 117025 133922 135749 143158 218950 230900 234050 267844 271498 286316 334805 348659 357895 437900 468100 542996 669610 678745 697318 715790 1339220 1357490 1394636 1431580 1674025 1743295 1789475 2075791 2714980 3348050 3393725 3486590 3578950 4151582 6696100 6787450 6973180 7157900 8303164 8716475 10111111 10378955 10808429 13574900 17432950 20222222 20757910 21616858 34865900 40444444 41515820 43233716 50555555 51894775 54042145 101111110 103789550 108084290 202222220 207579100 216168580 252777775 270210725 313444441 505555550 540421450 626888882 1011111100 1080842900 1253777764 1567222205 3134444410 6268888820 7836111025 15672222050 31344444100