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100210222031 = 1710357230281
BaseRepresentation
bin101110101010011111…
…1101010001111001111
3100120122211012201122212
41131110333222033033
53120212304101111
6114011432501035
710145205555503
oct1352477521717
9316584181585
10100210222031
1139554070017
121750824a77b
1395b023568a
144bc8d44303
15291791298b
hex1754fea3cf

100210222031 has 8 divisors (see below), whose sum is σ = 107135087904. Its totient is φ = 93399816960.

The previous prime is 100210222027. The next prime is 100210222043. The reversal of 100210222031 is 130222012001.

It is a happy number.

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

It is not a de Polignac number, because 100210222031 - 22 = 100210222027 is a prime.

It is a super-3 number, since 3×1002102220313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210221997 and 100210222015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210222061) 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, 28613390 + ... + 28616891.

It is an arithmetic number, because the mean of its divisors is an integer number (13391885988).

Almost surely, 2100210222031 is an apocalyptic number.

100210222031 is a deficient number, since it is larger than the sum of its proper divisors (6924865873).

100210222031 is a wasteful number, since it uses less digits than its factorization.

100210222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57230401.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100210222031 its reverse (130222012001), we get a palindrome (230432234032).

The spelling of 100210222031 in words is "one hundred billion, two hundred ten million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 17 103 1751 57230281 972914777 5894718943 100210222031