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32121213102 = 232112941472903
BaseRepresentation
bin11101111010100100…
…101101000010101110
310001220120201200201100
4131322210231002232
51011241012304402
622431205023530
72214664543416
oct357244550256
9101816650640
1032121213102
1112693650910
1262853b4ba6
13304b99c594
1417aa057646
15c7ee8171c
hex77a92d0ae

32121213102 has 192 divisors, whose sum is σ = 82196674560. Its totient is φ = 8970662400.

The previous prime is 32121213101. The next prime is 32121213107. The reversal of 32121213102 is 20131212123.

32121213102 is a `hidden beast` number, since 321 + 212 + 131 + 0 + 2 = 666.

It is a super-2 number, since 2×321212131022 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121213101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11063383 + ... + 11066285.

It is an arithmetic number, because the mean of its divisors is an integer number (428107680).

Almost surely, 232121213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41098337280).

32121213102 is an abundant number, since it is smaller than the sum of its proper divisors (50075461458).

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

32121213102 is a wasteful number, since it uses less digits than its factorization.

32121213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32121213102 its reverse (20131212123), we get a palindrome (52252425225).

The spelling of 32121213102 in words is "thirty-two billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred two".