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10000100010110 = 2571091310629097
BaseRepresentation
bin1001000110000101010001…
…1010001010100001111110
31022102000000011102021220112
42101201110122022201332
52302320201100310420
633133552120350022
72051324541411050
oct221412432124176
938360004367815
1010000100010110
113206022832101
121156105315312
1357700baa37c2
142680165238d0
151251d3aea8c5
hex9185468a87e

10000100010110 has 32 divisors (see below), whose sum is σ = 20760364912320. Its totient is φ = 3397150616832.

The previous prime is 10000100010067. The next prime is 10000100010133. The reversal of 10000100010110 is 1101000100001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10000100010094 and 10000100010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655306919 + ... + 655322178.

It is an arithmetic number, because the mean of its divisors is an integer number (648761403510).

Almost surely, 210000100010110 is an apocalyptic number.

10000100010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000100010110 is an abundant number, since it is smaller than the sum of its proper divisors (10760264902210).

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

10000100010110 is a wasteful number, since it uses less digits than its factorization.

10000100010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310629220.

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

Adding to 10000100010110 its reverse (1101000100001), we get a palindrome (11101100110111).

The spelling of 10000100010110 in words is "ten trillion, one hundred million, ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 109 218 545 763 1090 1526 3815 7630 1310629097 2621258194 6553145485 9174403679 13106290970 18348807358 45872018395 91744036790 142858571573 285717143146 714292857865 1000010001011 1428585715730 2000020002022 5000050005055 10000100010110