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100100506 = 21147131739
BaseRepresentation
bin1011111011101…
…10100110011010
320222100122002011
411331312212122
5201111204011
613533300134
72323561132
oct575664632
9228318064
10100100506
115155aaa0
122963464a
131797a48c
14d419ac2
158bc4621
hex5f7699a

100100506 has 32 divisors (see below), whose sum is σ = 168791040. Its totient is φ = 44132400.

The previous prime is 100100461. The next prime is 100100537. The reversal of 100100506 is 605001001.

It is a super-2 number, since 2×1001005062 = 20040222602912072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135085 + ... + 135823.

It is an arithmetic number, because the mean of its divisors is an integer number (5274720).

Almost surely, 2100100506 is an apocalyptic number.

100100506 is a deficient number, since it is larger than the sum of its proper divisors (68690534).

100100506 is a wasteful number, since it uses less digits than its factorization.

100100506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100100506 is about 10005.0240379521. The cubic root of 100100506 is about 464.3143338030.

Adding to 100100506 its reverse (605001001), we get a palindrome (705101507).

The spelling of 100100506 in words is "one hundred million, one hundred thousand, five hundred six".

Divisors: 1 2 11 22 47 94 131 262 517 739 1034 1441 1478 2882 6157 8129 12314 16258 34733 67727 69466 96809 135454 193618 382063 764126 1064899 2129798 4550023 9100046 50050253 100100506