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100214040 = 2335835117
BaseRepresentation
bin1011111100100…
…10010100011000
320222120101211010
411332102110120
5201123322130
613535533520
72324543133
oct576222430
9228511733
10100214040
1151628323
122968a2a0
13179ba064
14d44921a
158be80b0
hex5f92518

100214040 has 32 divisors (see below), whose sum is σ = 300642480. Its totient is φ = 26723712.

The previous prime is 100214029. The next prime is 100214047. The reversal of 100214040 is 40412001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100214047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417439 + ... + 417678.

Almost surely, 2100214040 is an apocalyptic number.

100214040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214040 is an abundant number, since it is smaller than the sum of its proper divisors (200428440).

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

100214040 is a wasteful number, since it uses less digits than its factorization.

100214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835131 (or 835127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100214040 is about 10010.6962794803. The cubic root of 100214040 is about 464.4898092602.

Adding to 100214040 its reverse (40412001), we get a palindrome (140626041).

The spelling of 100214040 in words is "one hundred million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 835117 1670234 2505351 3340468 4175585 5010702 6680936 8351170 10021404 12526755 16702340 20042808 25053510 33404680 50107020 100214040