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100100110026 = 2378367342667
BaseRepresentation
bin101110100111001101…
…1100111011011001010
3100120101011000110101110
41131032123213123022
53120001112010101
6113552500431150
710142400616320
oct1351633473312
9316334013343
10100100110026
11394a79a2264
12174973a84b6
139593491347
144bb847dd10
15290ce11cd6
hex174e6e76ca

100100110026 has 64 divisors (see below), whose sum is σ = 231906382848. Its totient is φ = 28212807168.

The previous prime is 100100110003. The next prime is 100100110027. The reversal of 100100110026 is 620011001001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100100109993 and 100100110020.

It is not an unprimeable number, because it can be changed into a prime (100100110027) 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, 2324745 + ... + 2367411.

It is an arithmetic number, because the mean of its divisors is an integer number (3623537232).

Almost surely, 2100100110026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100110026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115953191424).

100100110026 is an abundant number, since it is smaller than the sum of its proper divisors (131806272822).

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

100100110026 is a wasteful number, since it uses less digits than its factorization.

100100110026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43435.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100100110026 its reverse (620011001001), we get a palindrome (720111111027).

The spelling of 100100110026 in words is "one hundred billion, one hundred million, one hundred ten thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 673 1162 1346 1743 2019 3486 4038 4711 9422 14133 28266 42667 55859 85334 111718 128001 167577 256002 298669 335154 391013 597338 782026 896007 1173039 1792014 2346078 3541361 7082722 10624083 21248166 24789527 28714891 49579054 57429782 74368581 86144673 148737162 172289346 201004237 402008474 603012711 1206025422 2383335953 4766671906 7150007859 14300015718 16683351671 33366703342 50050055013 100100110026