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100103230112121 = 32173717682958861
BaseRepresentation
bin10110110000101100011001…
…011110001100000101111001
3111010102202221012222120100200
4112300230121132030011321
5101110042403402041441
6552522442234152413
730041135234464245
oct2660543136140571
9433382835876320
10100103230112121
11299945a5792325
12b288815282709
1343b1903c08222
141aa1044c59425
15b88dac3a47b6
hex5b0b1978c179

100103230112121 has 24 divisors (see below), whose sum is σ = 157236870200904. Its totient is φ = 61112305820160.

The previous prime is 100103230112113. The next prime is 100103230112141. The reversal of 100103230112121 is 121211032301001.

100103230112121 is a `hidden beast` number, since 100 + 10 + 323 + 0 + 112 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22404734756496 + 77698495355625 = 4733364^2 + 8814675^2 .

It is not a de Polignac number, because 100103230112121 - 23 = 100103230112113 is a prime.

It is a super-2 number, since 2×1001032301121212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100103230112094 and 100103230112103.

It is not an unprimeable number, because it can be changed into a prime (100103230112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8841473770 + ... + 8841485091.

It is an arithmetic number, because the mean of its divisors is an integer number (6551536258371).

Almost surely, 2100103230112121 is an apocalyptic number.

It is an amenable number.

100103230112121 is a deficient number, since it is larger than the sum of its proper divisors (57133640088783).

100103230112121 is a wasteful number, since it uses less digits than its factorization.

100103230112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17682958921 (or 17682958918 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100103230112121 its reverse (121211032301001), we get a palindrome (221314262413122).

The spelling of 100103230112121 in words is "one hundred trillion, one hundred three billion, two hundred thirty million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 17682958861 53048876583 159146629749 300610300637 654269477857 901830901911 1962808433571 2705492705733 5888425300713 11122581123569 33367743370707 100103230112121