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102210000001032 = 23372119887799151
BaseRepresentation
bin10111001111010110011110…
…101111100001100000001000
3111101220011212122012202021210
4113033112132233201200020
5101344102040000013112
61001214343100333120
730346300040202300
oct2717263657414010
9441804778182253
10102210000001032
112a627021433a20
12b568b962441a0
1345054916b7251
141b34dc1906600
15bc3ab3aceb3c
hex5cf59ebe1808

102210000001032 has 192 divisors, whose sum is σ = 324298694615040. Its totient is φ = 26545333584000.

The previous prime is 102210000001027. The next prime is 102210000001051. The reversal of 102210000001032 is 230100000012201.

102210000001032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022100000010322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102210000000999 and 102210000001017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127498657 + ... + 128297807.

It is an arithmetic number, because the mean of its divisors is an integer number (1689055701120).

Almost surely, 2102210000001032 is an apocalyptic number.

102210000001032 is a gapful number since it is divisible by the number (12) 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 102210000001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162149347307520).

102210000001032 is an abundant number, since it is smaller than the sum of its proper divisors (222088694614008).

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

102210000001032 is a wasteful number, since it uses less digits than its factorization.

102210000001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809072 (or 809061 counting only the distinct ones).

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

Adding to 102210000001032 its reverse (230100000012201), we get a palindrome (332310000013233).

The spelling of 102210000001032 in words is "one hundred two trillion, two hundred ten billion, one thousand, thirty-two".