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31021022032 = 2471113101127151
BaseRepresentation
bin11100111000111111…
…110011101101010000
32222001220112012021221
4130320333303231100
51002012340201112
622130104054424
72145505223320
oct347077635520
988056465257
1031021022032
1112179615aa0
126018a64414
132c04a82950
141703ca9280
15c185ade07
hex738ff3b50

31021022032 has 320 divisors, whose sum is σ = 82682707968. Its totient is φ = 10886400000.

The previous prime is 31021022029. The next prime is 31021022033. The reversal of 31021022032 is 23022012013.

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 = 31021021997 and 31021022015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31021022033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205437157 + ... + 205437307.

Almost surely, 231021022032 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 31021022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41341353984).

31021022032 is an abundant number, since it is smaller than the sum of its proper divisors (51661685936).

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

31021022032 is a wasteful number, since it uses less digits than its factorization.

31021022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31021022032 its reverse (23022012013), we get a palindrome (54043034045).

The spelling of 31021022032 in words is "thirty-one billion, twenty-one million, twenty-two thousand, thirty-two".