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32130131220 = 223351111634651
BaseRepresentation
bin11101111011000110…
…101110010100010100
310001221012111210002000
4131323012232110110
51011300303144340
622432124115300
72215133415645
oct357306562424
9101835453060
1032130131220
1112698692160
126288395b30
1330507a2885
1417ab2d96cc
15c80b43d30
hex77b1ae514

32130131220 has 192 divisors, whose sum is σ = 109164948480. Its totient is φ = 7780752000.

The previous prime is 32130131213. The next prime is 32130131233. The reversal of 32130131220 is 2213103123.

32130131220 is a `hidden beast` number, since 32 + 1 + 301 + 312 + 20 = 666.

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 = 32130131193 and 32130131202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6905895 + ... + 6910545.

It is an arithmetic number, because the mean of its divisors is an integer number (568567440).

Almost surely, 232130131220 is an apocalyptic number.

32130131220 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 32130131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54582474240).

32130131220 is an abundant number, since it is smaller than the sum of its proper divisors (77034817260).

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

32130131220 is a wasteful number, since it uses less digits than its factorization.

32130131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32130131220 its reverse (2213103123), we get a palindrome (34343234343).

The spelling of 32130131220 in words is "thirty-two billion, one hundred thirty million, one hundred thirty-one thousand, two hundred twenty".