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100022131 = 1129313549
BaseRepresentation
bin1011111011000…
…11011101110011
320222012122120101
411331203131303
5201101202011
613531453231
72323113466
oct575433563
9228178511
10100022131
1151507120
12295b7217
13179508c1
14d3d92dd
158bab2c1
hex5f63773

100022131 has 8 divisors (see below), whose sum is σ = 112878000. Its totient is φ = 87793440.

The previous prime is 100022129. The next prime is 100022141. The reversal of 100022131 is 131220001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100022131 - 21 = 100022129 is a prime.

It is a super-2 number, since 2×1000221312 = 20008853379562322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156456 + ... + 157093.

It is an arithmetic number, because the mean of its divisors is an integer number (14109750).

Almost surely, 2100022131 is an apocalyptic number.

100022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100022131 is a deficient number, since it is larger than the sum of its proper divisors (12855869).

100022131 is a wasteful number, since it uses less digits than its factorization.

100022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313589.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100022131 is about 10001.1064887841. The cubic root of 100022131 is about 464.1931218365.

Adding to 100022131 its reverse (131220001), we get a palindrome (231242132).

The spelling of 100022131 in words is "one hundred million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 11 29 319 313549 3449039 9092921 100022131