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31038042420 = 2232571119432741
BaseRepresentation
bin11100111010000000…
…101111000100110100
32222010002112220212200
4130322000233010310
51002031214324140
622131512544500
72146103002410
oct347200570464
988102486780
1031038042420
1112188190730
1260226b2130
132c08461a98
141706259d40
15c19d22030
hex73a02f134

31038042420 has 576 divisors, whose sum is σ = 126477711360. Its totient is φ = 5965747200.

The previous prime is 31038042419. The next prime is 31038042437. The reversal of 31038042420 is 2424083013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11322250 + ... + 11324990.

It is an arithmetic number, because the mean of its divisors is an integer number (219579360).

Almost surely, 231038042420 is an apocalyptic number.

31038042420 is a gapful number since it is divisible by the number (30) 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 31038042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63238855680).

31038042420 is an abundant number, since it is smaller than the sum of its proper divisors (95439668940).

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

31038042420 is a wasteful number, since it uses less digits than its factorization.

31038042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 31038042420 in words is "thirty-one billion, thirty-eight million, forty-two thousand, four hundred twenty".