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31442212032 = 26371122959113
BaseRepresentation
bin11101010010000110…
…100001010011000000
310000011021001212100120
4131102012201103000
51003343201241112
622235551420240
72162111251440
oct352206412300
9100137055316
1031442212032
1112375344300
126115b24680
132c711031ba
141743bc8120
15c4055ae8c
hex7521a14c0

31442212032 has 672 divisors, whose sum is σ = 110913062400. Its totient is φ = 7682949120.

The previous prime is 31442212007. The next prime is 31442212037. The reversal of 31442212032 is 23021224413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×314422120322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31442211993 and 31442212011.

It is not an unprimeable number, because it can be changed into a prime (31442212037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278249608 + ... + 278249720.

It is an arithmetic number, because the mean of its divisors is an integer number (165049200).

Almost surely, 231442212032 is an apocalyptic number.

31442212032 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 31442212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55456531200).

31442212032 is an abundant number, since it is smaller than the sum of its proper divisors (79470850368).

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

31442212032 is a wasteful number, since it uses less digits than its factorization.

31442212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31442212032 its reverse (23021224413), we get a palindrome (54463436445).

The spelling of 31442212032 in words is "thirty-one billion, four hundred forty-two million, two hundred twelve thousand, thirty-two".