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100022031 = 3271157997
BaseRepresentation
bin1011111011000…
…11011100001111
320222012122102200
411331203130033
5201101201111
613531452543
72323113264
oct575433417
9228178380
10100022031
115150703a
12295b7153
1317950845
14d3d926b
158bab256
hex5f6370f

100022031 has 24 divisors (see below), whose sum is σ = 147592224. Its totient is φ = 65257920.

The previous prime is 100022029. The next prime is 100022071. The reversal of 100022031 is 130220001.

It is a happy number.

It is not a de Polignac number, because 100022031 - 21 = 100022029 is a prime.

It is a super-2 number, since 2×1000220312 = 20008813370729922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99825 + ... + 100821.

It is an arithmetic number, because the mean of its divisors is an integer number (6149676).

Almost surely, 2100022031 is an apocalyptic number.

100022031 is a deficient number, since it is larger than the sum of its proper divisors (47570193).

100022031 is a wasteful number, since it uses less digits than its factorization.

100022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100022031 is about 10001.1014893361. The cubic root of 100022031 is about 464.1929671396.

Adding to 100022031 its reverse (130220001), we get a palindrome (230242032).

The spelling of 100022031 in words is "one hundred million, twenty-two thousand, thirty-one".

Divisors: 1 3 9 71 157 213 471 639 997 1413 2991 8973 11147 33441 70787 100323 156529 212361 469587 637083 1408761 11113559 33340677 100022031