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102021119970 = 2357111931167449
BaseRepresentation
bin101111100000011101…
…1101011111111100010
3100202100000201212121220
41133000323223333202
53132414401314340
6114511242355510
710241115132360
oct1370073537742
9322300655556
10102021119970
113a2a3298490
12179327bbb96
13980b46cc13
144d1b656630
1529c18beed0
hex17c0eebfe2

102021119970 has 512 divisors, whose sum is σ = 334430208000. Its totient is φ = 19276185600.

The previous prime is 102021119929. The next prime is 102021119971. The reversal of 102021119970 is 79911120201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102021119971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 227218306 + ... + 227218754.

It is an arithmetic number, because the mean of its divisors is an integer number (653184000).

Almost surely, 2102021119970 is an apocalyptic number.

102021119970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021119970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104000).

102021119970 is an abundant number, since it is smaller than the sum of its proper divisors (232409088030).

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

102021119970 is a wasteful number, since it uses less digits than its factorization.

102021119970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 2268, while the sum is 33.

The spelling of 102021119970 in words is "one hundred two billion, twenty-one million, one hundred nineteen thousand, nine hundred seventy".