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10322100012 = 22373753223281
BaseRepresentation
bin10011001110011111…
…01011111100101100
3222122100212000021110
421213033223330230
5132114424200022
64424130232020
7513535255020
oct114717537454
928570760243
1010322100012
114417613574
122000a25610
13c866554b3
146dcc4a380
154062d500c
hex2673ebf2c

10322100012 has 192 divisors, whose sum is σ = 29035044864. Its totient is φ = 2792724480.

The previous prime is 10322099993. The next prime is 10322100031. The reversal of 10322100012 is 21000122301.

It is an interprime number because it is at equal distance from previous prime (10322099993) and next prime (10322100031).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36733312 + ... + 36733592.

It is an arithmetic number, because the mean of its divisors is an integer number (151224192).

Almost surely, 210322100012 is an apocalyptic number.

10322100012 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 10322100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517522432).

10322100012 is an abundant number, since it is smaller than the sum of its proper divisors (18712944852).

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

10322100012 is a wasteful number, since it uses less digits than its factorization.

10322100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

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

Adding to 10322100012 its reverse (21000122301), we get a palindrome (31322222313).

The spelling of 10322100012 in words is "ten billion, three hundred twenty-two million, one hundred thousand, twelve".