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31030003321312 = 252942185992461
BaseRepresentation
bin1110000111000101111000…
…10100110100100111100000
311001212102212021122211022211
413003202330110310213200
513031343421322240222
6145554553045011504
76351562260226222
oct703427424644740
9131772767584284
1031030003321312
119983828a19366
1235919a53b3b94
131441169693848
14793c08464412
1538c2655c3277
hex1c38bc5349e0

31030003321312 has 96 divisors (see below), whose sum is σ = 63421424085600. Its totient is φ = 14926860748800.

The previous prime is 31030003321307. The next prime is 31030003321319. The reversal of 31030003321312 is 21312330003013.

It is a super-2 number, since 2×310300033213122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31030003321319) 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, 335554762 + ... + 335647222.

It is an arithmetic number, because the mean of its divisors is an integer number (660639834225).

Almost surely, 231030003321312 is an apocalyptic number.

31030003321312 is a gapful number since it is divisible by the number (32) 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 31030003321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710712042800).

31030003321312 is an abundant number, since it is smaller than the sum of its proper divisors (32391420764288).

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

31030003321312 is a wasteful number, since it uses less digits than its factorization.

31030003321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93780 (or 93772 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31030003321312 its reverse (21312330003013), we get a palindrome (52342333324325).

The spelling of 31030003321312 in words is "thirty-one trillion, thirty billion, three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 421 464 842 859 928 1684 1718 3368 3436 6736 6872 12209 13472 13744 24418 24911 27488 48836 49822 92461 97672 99644 184922 195344 199288 361639 369844 390688 398576 723278 739688 797152 1446556 1479376 2681369 2893112 2958752 5362738 5786224 10487531 10725476 11572448 20975062 21450952 38926081 41950124 42901904 77852162 79423999 83900248 85803808 155704324 158847998 167800496 311408648 317695996 335600992 622817296 635391992 1128856349 1245634592 1270783984 2257712698 2303295971 2541567968 4515425396 4606591942 9030850792 9213183884 18061701584 18426367768 33437503579 36123403168 36852735536 66875007158 73705471072 133750014316 267500028632 535000057264 969687603791 1070000114528 1939375207582 3878750415164 7757500830328 15515001660656 31030003321312