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103011621804 = 22337313409523
BaseRepresentation
bin101111111101111111…
…0001001101110101100
3100211220001112120201000
41133323332021232230
53141431433344204
6115153424320300
710304503224000
oct1377376115654
9324801476630
10103011621804
113a761414143
1217b6a473090
139938732a90
144db3010700
152a2d827039
hex17fbf89bac

103011621804 has 384 divisors, whose sum is σ = 336869120000. Its totient is φ = 27049655808.

The previous prime is 103011621803. The next prime is 103011621863. The reversal of 103011621804 is 408126110301.

It is a happy number.

103011621804 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 1 + 621 + 8 + 0 + 4 = 666.

It is a super-2 number, since 2×1030116218042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103011621803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196962687 + ... + 196963209.

Almost surely, 2103011621804 is an apocalyptic number.

103011621804 is a gapful number since it is divisible by the number (14) 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 103011621804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168434560000).

103011621804 is an abundant number, since it is smaller than the sum of its proper divisors (233857498196).

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

103011621804 is a wasteful number, since it uses less digits than its factorization.

103011621804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 103011621804 in words is "one hundred three billion, eleven million, six hundred twenty-one thousand, eight hundred four".