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100313142 = 233741103107
BaseRepresentation
bin1011111101010…
…10100000110110
320222202102202120
411332222200312
5201140010032
613542020410
72325435066
oct576524066
9228672676
10100313142
1151695826
1229717706
1317a231b7
14d4733a6
158c1762c
hex5faa836

100313142 has 64 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 31138560.

The previous prime is 100313113. The next prime is 100313149. The reversal of 100313142 is 241313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313149) 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, 937453 + ... + 937559.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2100313142 is an apocalyptic number.

100313142 is an abundant number, since it is smaller than the sum of its proper divisors (114802122).

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

100313142 is a wasteful number, since it uses less digits than its factorization.

100313142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100313142 is about 10015.6448619148. The cubic root of 100313142 is about 464.6428706600.

Adding to 100313142 its reverse (241313001), we get a palindrome (341626143).

The spelling of 100313142 in words is "one hundred million, three hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 37 41 74 82 103 107 111 123 206 214 222 246 309 321 618 642 1517 3034 3811 3959 4223 4387 4551 7622 7918 8446 8774 9102 11021 11433 11877 12669 13161 22042 22866 23754 25338 26322 33063 66126 156251 162319 312502 324638 407777 451861 468753 486957 815554 903722 937506 973914 1223331 1355583 2446662 2711166 16718857 33437714 50156571 100313142