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100214634 = 23132234297
BaseRepresentation
bin1011111100100…
…10011101101010
320222120102122010
411332102131222
5201123332014
613535540350
72324544642
oct576223552
9228512563
10100214634
1151628813
122968a6b6
13179ba400
14d449522
158be8359
hex5f9276a

100214634 has 48 divisors (see below), whose sum is σ = 226521792. Its totient is φ = 29487744.

The previous prime is 100214617. The next prime is 100214651. The reversal of 100214634 is 436412001.

It is an interprime number because it is at equal distance from previous prime (100214617) and next prime (100214651).

100214634 is a modest number, since divided by 14634 gives 1002 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100214634.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21174 + ... + 25470.

It is an arithmetic number, because the mean of its divisors is an integer number (4719204).

Almost surely, 2100214634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100214634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113260896).

100214634 is an abundant number, since it is smaller than the sum of its proper divisors (126307158).

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

100214634 is a wasteful number, since it uses less digits than its factorization.

100214634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100214634 is about 10010.7259477023. The cubic root of 100214634 is about 464.4907269839.

Adding to 100214634 its reverse (436412001), we get a palindrome (536626635).

The spelling of 100214634 in words is "one hundred million, two hundred fourteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 3887 4297 7774 8594 11661 12891 23322 25782 55861 98831 111722 167583 197662 296493 335166 592986 726193 1284803 1452386 2178579 2569606 3854409 4357158 7708818 16702439 33404878 50107317 100214634