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100232023023 = 38111817673
BaseRepresentation
bin101110101011001001…
…0110100101111101111
3100120201100020100000000
41131112102310233233
53120233344214043
6114013532035343
710145562065316
oct1352622645757
9316640210000
10100232023023
1139565400470
1217513602b53
1395b48c9782
144bcbbbb27d
1529197bc2d3
hex17564b4bef

100232023023 has 72 divisors (see below), whose sum is σ = 164935317456. Its totient is φ = 60403190400.

The previous prime is 100232023007. The next prime is 100232023043. The reversal of 100232023023 is 320320232001.

It is a happy number.

It is not a de Polignac number, because 100232023023 - 24 = 100232023007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100232022987 and 100232023005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232023043) 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 71 ways as a sum of consecutive naturals, for example, 13059115 + ... + 13066787.

It is an arithmetic number, because the mean of its divisors is an integer number (2290768298).

Almost surely, 2100232023023 is an apocalyptic number.

100232023023 is a deficient number, since it is larger than the sum of its proper divisors (64703294433).

100232023023 is an frugal number, since it uses more digits than its factorization.

100232023023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100232023023 its reverse (320320232001), we get a palindrome (420552255024).

The spelling of 100232023023 in words is "one hundred billion, two hundred thirty-two million, twenty-three thousand, twenty-three".

Divisors: 1 3 9 11 27 33 81 99 181 243 297 543 729 891 1629 1991 2187 2673 4887 5973 6561 7673 8019 14661 17919 23019 24057 43983 53757 69057 72171 84403 131949 161271 207171 253209 395847 483813 621513 759627 1187541 1388813 1451439 1864539 2278881 4166439 4354317 5593617 6836643 12499317 13062951 15276943 16780851 20509929 37497951 45830829 50342553 61529787 112493853 137492487 184589361 337481559 412477461 553768083 1012444677 1237432383 3037334031 3712297149 9112002093 11136891447 33410674341 100232023023