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31123303104 = 263673836317
BaseRepresentation
bin11100111111000101…
…111110101011000000
32222100000222121112210
4130333011332223000
51002220031144404
622144200222120
72151156466005
oct347705765300
988300877483
1031123303104
1112221325303
12604716a940
132c200147aa
1417136d18ac
15c22564689
hex73f17eac0

31123303104 has 112 divisors (see below), whose sum is σ = 83807612928. Its totient is φ = 10191295488.

The previous prime is 31123303103. The next prime is 31123303109. The reversal of 31123303104 is 40130332113.

It is a super-2 number, since 2×311233031042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31123303103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4923754 + ... + 4930070.

Almost surely, 231123303104 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 31123303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41903806464).

31123303104 is an abundant number, since it is smaller than the sum of its proper divisors (52684309824).

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

31123303104 is a wasteful number, since it uses less digits than its factorization.

31123303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31123303104 its reverse (40130332113), we get a palindrome (71253635217).

The spelling of 31123303104 in words is "thirty-one billion, one hundred twenty-three million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 383 402 536 766 804 1072 1149 1532 1608 2144 2298 3064 3216 4288 4596 6128 6317 6432 9192 12256 12634 12864 18384 18951 24512 25268 25661 36768 37902 50536 51322 73536 75804 76983 101072 102644 151608 153966 202144 205288 303216 307932 404288 410576 423239 606432 615864 821152 846478 1212864 1231728 1269717 1642304 1692956 2419411 2463456 2539434 3385912 4838822 4926912 5078868 6771824 7258233 9677644 10157736 13543648 14516466 19355288 20315472 27087296 29032932 38710576 40630944 58065864 77421152 81261888 116131728 154842304 162100537 232263456 324201074 464526912 486301611 648402148 972603222 1296804296 1945206444 2593608592 3890412888 5187217184 7780825776 10374434368 15561651552 31123303104