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101906420328 = 2333471788983
BaseRepresentation
bin101111011101000011…
…0001001001001101000
3100202001000220112022000
41132322012021021220
53132201020422303
6114452024131000
710235223165156
oct1367206111150
9322030815260
10101906420328
113a244576999
1217900306a60
1397c07806cb
144d0a31a3d6
1529b67b4da3
hex17ba189268

101906420328 has 32 divisors (see below), whose sum is σ = 283073390400. Its totient is φ = 33968806704.

The previous prime is 101906420303. The next prime is 101906420339. The reversal of 101906420328 is 823024609101.

101906420328 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 642 + 0 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101906420292 and 101906420301.

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 7 ways as a sum of consecutive naturals, for example, 235894276 + ... + 235894707.

It is an arithmetic number, because the mean of its divisors is an integer number (8846043450).

Almost surely, 2101906420328 is an apocalyptic number.

101906420328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101906420328 is an abundant number, since it is smaller than the sum of its proper divisors (181166970072).

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

101906420328 is a wasteful number, since it uses less digits than its factorization.

101906420328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471788998 (or 471788988 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101906420328 in words is "one hundred one billion, nine hundred six million, four hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 471788983 943577966 1415366949 1887155932 2830733898 3774311864 4246100847 5661467796 8492201694 11322935592 12738302541 16984403388 25476605082 33968806776 50953210164 101906420328