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10100100104 = 2319148144867
BaseRepresentation
bin10010110100000001…
…10100110000001000
3222001220010020122122
421122000310300020
5131141111200404
64350120110412
7505201301663
oct113200646010
928056106578
1010100100104
114313274776
121b5a605408
13c4c6676c3
146bb57c6da
153e1a823be
hex25a034c08

10100100104 has 32 divisors (see below), whose sum is σ = 19948312800. Its totient is φ = 4780920960.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100104 is 40100100101.

It is a super-2 number, since 2×101001001042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10100100091 and 10100100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202679 + ... + 247545.

It is an arithmetic number, because the mean of its divisors is an integer number (623384775).

Almost surely, 210100100104 is an apocalyptic number.

It is an amenable number.

10100100104 is a deficient number, since it is larger than the sum of its proper divisors (9848212696).

10100100104 is a wasteful number, since it uses less digits than its factorization.

10100100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46373 (or 46369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100100104 its reverse (40100100101), we get a palindrome (50200200205).

The spelling of 10100100104 in words is "ten billion, one hundred million, one hundred thousand, one hundred four".

Divisors: 1 2 4 8 19 38 76 152 1481 2962 5924 11848 28139 44867 56278 89734 112556 179468 225112 358936 852473 1704946 3409892 6819784 66448027 132896054 265792108 531584216 1262512513 2525025026 5050050052 10100100104