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102022000000 = 2756291759
BaseRepresentation
bin101111100000011111…
…1000010110110000000
3100202100002101120210121
41133000333002312000
53132420113000000
6114511313310024
710241125456144
oct1370077026600
9322302346717
10102022000000
113a2a3839688
1217932b65314
13980b6ba64b
144d1b805224
1529c19e5b1a
hex17c0fc2d80

102022000000 has 224 divisors, whose sum is σ = 262965384000. Its totient is φ = 39379200000.

The previous prime is 102021999977. The next prime is 102022000021. The reversal of 102022000000 is 220201.

It is a happy number.

It is a congruent 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 27 ways as a sum of consecutive naturals, for example, 57999121 + ... + 58000879.

Almost surely, 2102022000000 is an apocalyptic number.

102022000000 is a gapful number since it is divisible by the number (10) 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 102022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131482692000).

102022000000 is an abundant number, since it is smaller than the sum of its proper divisors (160943384000).

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

102022000000 is an frugal number, since it uses more digits than its factorization.

102022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 102022000000 its reverse (220201), we get a palindrome (102022220201).

The spelling of 102022000000 in words is "one hundred two billion, twenty-two million", and thus it is an aban number.