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10322102120 = 2351171330413
BaseRepresentation
bin10011001110011111…
…01100011101101000
3222122100212010011112
421213033230131220
5132114424231440
64424130245452
7513535264121
oct114717543550
928570763145
1010322102120
114417615110
122000a26888
13c86656445
146dcc4b048
154062d5965
hex2673ec768

10322102120 has 64 divisors (see below), whose sum is σ = 25692992640. Its totient is φ = 3700614400.

The previous prime is 10322102101. The next prime is 10322102123. The reversal of 10322102120 is 2120122301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10322102095 and 10322102104.

It is not an unprimeable number, because it can be changed into a prime (10322102123) 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 15 ways as a sum of consecutive naturals, for example, 133967 + ... + 196446.

It is an arithmetic number, because the mean of its divisors is an integer number (401453010).

Almost surely, 210322102120 is an apocalyptic number.

10322102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322102120 is an abundant number, since it is smaller than the sum of its proper divisors (15370890520).

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

10322102120 is a wasteful number, since it uses less digits than its factorization.

10322102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330506 (or 330502 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10322102120 its reverse (2120122301), we get a palindrome (12442224421).

The spelling of 10322102120 in words is "ten billion, three hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 31240 330413 660826 1321652 1652065 2643304 3304130 3634543 6608260 7269086 13216520 14538172 18172715 23459323 29076344 36345430 46918646 72690860 93837292 117296615 145381720 187674584 234593230 258052553 469186460 516105106 938372920 1032210212 1290262765 2064420424 2580525530 5161051060 10322102120