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10100100101 = 713237167967
BaseRepresentation
bin10010110100000001…
…10100110000000101
3222001220010020122112
421122000310300011
5131141111200401
64350120110405
7505201301660
oct113200646005
928056106575
1010100100101
114313274773
121b5a605405
13c4c6676c0
146bb57c6d7
153e1a823bb
hex25a034c05

10100100101 has 32 divisors (see below), whose sum is σ = 13154254848. Its totient is φ = 7536070080.

The previous prime is 10100100079. The next prime is 10100100133.

10100100101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10100100101 - 214 = 10100083717 is a prime.

10100100101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114620 + ... + 182586.

It is an arithmetic number, because the mean of its divisors is an integer number (411070464).

Almost surely, 210100100101 is an apocalyptic number.

It is an amenable number.

10100100101 is a deficient number, since it is larger than the sum of its proper divisors (3054154747).

10100100101 is a wasteful number, since it uses less digits than its factorization.

10100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68081.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10100100101 in words is "ten billion, one hundred million, one hundred thousand, one hundred one".

Divisors: 1 7 13 23 71 91 161 299 497 923 1633 2093 6461 11431 21229 67967 148603 475769 883571 1563241 4825657 6184997 10942687 20322133 33779599 62733541 110990111 142254931 439134787 776930777 1442871443 10100100101