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31330033100 = 2252536196907
BaseRepresentation
bin11101001011011010…
…100101110111001100
32222212102222120210022
4131023122211313030
51003130442024400
622220503201312
72156246613242
oct351332456714
988772876708
1031330033100
1112317a94643
1260a4446238
132c53ab7132
141732d46792
15c3579cb85
hex74b6a5dcc

31330033100 has 72 divisors (see below), whose sum is σ = 70405212528. Its totient is φ = 12093868800.

The previous prime is 31330033093. The next prime is 31330033129. The reversal of 31330033100 is 133003313.

It is a super-2 number, since 2×313300331002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274847 + ... + 371753.

It is an arithmetic number, because the mean of its divisors is an integer number (977850174).

Almost surely, 231330033100 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 31330033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35202606264).

31330033100 is an abundant number, since it is smaller than the sum of its proper divisors (39075179428).

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

31330033100 is a wasteful number, since it uses less digits than its factorization.

31330033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97035 (or 97028 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 31330033100 its reverse (133003313), we get a palindrome (31463036413).

The spelling of 31330033100 in words is "thirty-one billion, three hundred thirty million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 61 100 106 122 212 244 265 305 530 610 1060 1220 1325 1525 2650 3050 3233 5300 6100 6466 12932 16165 32330 64660 80825 96907 161650 193814 323300 387628 484535 969070 1938140 2422675 4845350 5136071 5911327 9690700 10272142 11822654 20544284 23645308 25680355 29556635 51360710 59113270 102721420 118226540 128401775 147783175 256803550 295566350 313300331 513607100 591132700 626600662 1253201324 1566501655 3133003310 6266006620 7832508275 15665016550 31330033100