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32120210010 = 23572233972393
BaseRepresentation
bin11101111010100000…
…111000001001011010
310001220111211201201210
4131322200320021122
51011240233210020
622431131323550
72214653165100
oct357240701132
9101814751653
1032120210010
1112693026209
126284bb05b6
13304b70ab35
1417a9c75c70
15c7ed343e0
hex77a83825a

32120210010 has 192 divisors, whose sum is σ = 93848170752. Its totient is φ = 7001938944.

The previous prime is 32120209993. The next prime is 32120210027. The reversal of 32120210010 is 1001202123.

It is an interprime number because it is at equal distance from previous prime (32120209993) and next prime (32120210027).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13421374 + ... + 13423766.

It is an arithmetic number, because the mean of its divisors is an integer number (488792556).

Almost surely, 232120210010 is an apocalyptic number.

32120210010 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 32120210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46924085376).

32120210010 is an abundant number, since it is smaller than the sum of its proper divisors (61727960742).

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

32120210010 is a wasteful number, since it uses less digits than its factorization.

32120210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32120210010 its reverse (1001202123), we get a palindrome (33121412133).

The spelling of 32120210010 in words is "thirty-two billion, one hundred twenty million, two hundred ten thousand, ten".