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31302112300 = 22524313195519
BaseRepresentation
bin11101001001110000…
…000101010000101100
32222210111110001122121
4131021300011100230
51003101320043200
622214024522324
72155460364424
oct351160052054
988714401577
1031302112300
11123032542a8
1260970203a4
132c4b08c654
14172d359484
15c330d4e1a
hex749c0542c

31302112300 has 72 divisors (see below), whose sum is σ = 69570547200. Its totient is φ = 12218176320.

The previous prime is 31302112297. The next prime is 31302112301. The reversal of 31302112300 is 321120313.

It is a super-4 number, since 4×313021123004 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (31302112301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668941 + ... + 5674459.

It is an arithmetic number, because the mean of its divisors is an integer number (966257600).

Almost surely, 231302112300 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 31302112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34785273600).

31302112300 is an abundant number, since it is smaller than the sum of its proper divisors (38268434900).

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

31302112300 is a wasteful number, since it uses less digits than its factorization.

31302112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31302112300 its reverse (321120313), we get a palindrome (31623232613).

The spelling of 31302112300 in words is "thirty-one billion, three hundred two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1319 2150 2638 4300 5276 5519 6595 11038 13190 22076 26380 27595 32975 55190 56717 65950 110380 113434 131900 137975 226868 237317 275950 283585 474634 551900 567170 949268 1134340 1186585 1417925 2373170 2835850 4746340 5671700 5932925 7279561 11865850 14559122 23731700 29118244 36397805 72795610 145591220 181989025 313021123 363978050 626042246 727956100 1252084492 1565105615 3130211230 6260422460 7825528075 15651056150 31302112300