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100014372 = 2233979547
BaseRepresentation
bin1011111011000…
…01100100100100
320222012020221000
411331201210210
5201100424442
613531353300
72323052043
oct575414444
9228166830
10100014372
1151501307
12295b2830
131794a203
14d3d655a
158ba8d4c
hex5f61924

100014372 has 48 divisors (see below), whose sum is σ = 261997120. Its totient is φ = 32990976.

The previous prime is 100014361. The next prime is 100014389. The reversal of 100014372 is 273410001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5703 + ... + 15249.

Almost surely, 2100014372 is an apocalyptic number.

100014372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100014372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130998560).

100014372 is an abundant number, since it is smaller than the sum of its proper divisors (161982748).

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

100014372 is a wasteful number, since it uses less digits than its factorization.

100014372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100014372 is about 10000.7185741826. The cubic root of 100014372 is about 464.1811186010.

Adding to 100014372 its reverse (273410001), we get a palindrome (373424373).

The spelling of 100014372 in words is "one hundred million, fourteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 9547 10476 19094 28641 38188 57282 85923 114564 171846 257769 343692 515538 926059 1031076 1852118 2778177 3704236 5556354 8334531 11112708 16669062 25003593 33338124 50007186 100014372