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100488031 = 7891011597
BaseRepresentation
bin1011111110101…
…01001101011111
321000002022122221
411333111031133
5201211104111
613545450211
72330064010
oct577251537
9230068587
10100488031
11517a5166
12297a0967
1317a84997
14d4bb007
158c4e371
hex5fd535f

100488031 has 16 divisors (see below), whose sum is σ = 117357120. Its totient is φ = 84268800.

The previous prime is 100488029. The next prime is 100488107. The reversal of 100488031 is 130884001.

It is not a de Polignac number, because 100488031 - 21 = 100488029 is a prime.

It is a super-2 number, since 2×1004880312 = 20195688748513922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100487987 and 100488005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100485031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62125 + ... + 63721.

It is an arithmetic number, because the mean of its divisors is an integer number (7334820).

Almost surely, 2100488031 is an apocalyptic number.

100488031 is a deficient number, since it is larger than the sum of its proper divisors (16869089).

100488031 is a wasteful number, since it uses less digits than its factorization.

100488031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 100488031 is about 10024.3718506448. The cubic root of 100488031 is about 464.9127380865.

The spelling of 100488031 in words is "one hundred million, four hundred eighty-eight thousand, thirty-one".

Divisors: 1 7 89 101 623 707 1597 8989 11179 62923 142133 161297 994931 1129079 14355433 100488031