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32013211230 = 23657111341107
BaseRepresentation
bin11101110100001000…
…101101011001011110
310001122001111122000000
4131310020231121132
51011030340224410
622412350115130
72212213543230
oct356410553136
9101561448000
1032013211230
1112638694470
1262551abaa6
1330324b6850
141799982250
15c7574adc0
hex77422d65e

32013211230 has 896 divisors, whose sum is σ = 119940258816. Its totient is φ = 5934643200.

The previous prime is 32013211213. The next prime is 32013211253. The reversal of 32013211230 is 3211231023.

32013211230 is a `hidden beast` number, since 320 + 1 + 321 + 1 + 23 + 0 = 666.

It is a super-2 number, since 2×320132112302 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

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 447 ways as a sum of consecutive naturals, for example, 299188837 + ... + 299188943.

It is an arithmetic number, because the mean of its divisors is an integer number (133861896).

Almost surely, 232013211230 is an apocalyptic number.

32013211230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59970129408).

32013211230 is an abundant number, since it is smaller than the sum of its proper divisors (87927047586).

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

32013211230 is a wasteful number, since it uses less digits than its factorization.

32013211230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

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

Adding to 32013211230 its reverse (3211231023), we get a palindrome (35224442253).

The spelling of 32013211230 in words is "thirty-two billion, thirteen million, two hundred eleven thousand, two hundred thirty".