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31113020032 = 271372716547
BaseRepresentation
bin11100111110011110…
…110000001010000000
32222022022122011211021
4130332132300022000
51002204413120112
622143151555224
72151003210133
oct347636601200
988268564737
1031113020032
11122165414a6
12604382bb14
132c1ab54133
1417121b621a
15c216d2907
hex73e7b0280

31113020032 has 64 divisors (see below), whose sum is σ = 62675360640. Its totient is φ = 15383623680.

The previous prime is 31113020009. The next prime is 31113020039. The reversal of 31113020032 is 23002031113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31113019988 and 31113020015.

It is not an unprimeable number, because it can be changed into a prime (31113020039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4748983 + ... + 4755529.

It is an arithmetic number, because the mean of its divisors is an integer number (979302510).

Almost surely, 231113020032 is an apocalyptic number.

31113020032 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 31113020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337680320).

31113020032 is an abundant number, since it is smaller than the sum of its proper divisors (31562340608).

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

31113020032 is a wasteful number, since it uses less digits than its factorization.

31113020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6957 counting only the distinct ones).

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

Adding to 31113020032 its reverse (23002031113), we get a palindrome (54115051145).

The spelling of 31113020032 in words is "thirty-one billion, one hundred thirteen million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 137 271 274 542 548 1084 1096 2168 2192 4336 4384 6547 8672 8768 13094 17344 17536 26188 34688 37127 52376 74254 104752 148508 209504 297016 419008 594032 838016 896939 1188064 1774237 1793878 2376128 3548474 3587756 4752256 7096948 7175512 14193896 14351024 28387792 28702048 56775584 57404096 113551168 114808192 227102336 243070469 486140938 972281876 1944563752 3889127504 7778255008 15556510016 31113020032