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31023220320 = 2534543179311
BaseRepresentation
bin11100111001001000…
…001100011001100000
32222002001122212210000
4130321020030121200
51002013421022240
622130223140000
72145533010321
oct347110143140
988061585700
1031023220320
111217a887664
126019744600
132c05372401
1417042bc448
15c18895430
hex73920c660

31023220320 has 480 divisors, whose sum is σ = 113020427520. Its totient is φ = 8009487360.

The previous prime is 31023220309. The next prime is 31023220331. The reversal of 31023220320 is 2302232013.

It is a happy number.

31023220320 is a `hidden beast` number, since 310 + 2 + 32 + 2 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (31023220309) and next prime (31023220331).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31023220293 and 31023220302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99752965 + ... + 99753275.

It is an arithmetic number, because the mean of its divisors is an integer number (235459224).

Almost surely, 231023220320 is an apocalyptic number.

31023220320 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 31023220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56510213760).

31023220320 is an abundant number, since it is smaller than the sum of its proper divisors (81997207200).

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

31023220320 is a wasteful number, since it uses less digits than its factorization.

31023220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 31023220320 its reverse (2302232013), we get a palindrome (33325452333).

The spelling of 31023220320 in words is "thirty-one billion, twenty-three million, two hundred twenty thousand, three hundred twenty".