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100202223031 = 151705794033
BaseRepresentation
bin101110101010010000…
…1001001010110110111
3100120122021011100002121
41131110201021112313
53120203232114111
6114010545220411
710145050562011
oct1352441112667
9316567140077
10100202223031
113954a5a7279
1217505631707
1395ab694841
144bc7c611b1
152916d82871
hex17548495b7

100202223031 has 8 divisors (see below), whose sum is σ = 100881179744. Its totient is φ = 99523468800.

The previous prime is 100202223007. The next prime is 100202223053. The reversal of 100202223031 is 130322202001.

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

It is a cyclic number.

It is not a de Polignac number, because 100202223031 - 25 = 100202222999 is a prime.

It is a super-2 number, since 2×1002022230312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100202222996 and 100202223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202223631) 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 7 ways as a sum of consecutive naturals, for example, 1018591 + ... + 1112623.

It is an arithmetic number, because the mean of its divisors is an integer number (12610147468).

Almost surely, 2100202223031 is an apocalyptic number.

100202223031 is a deficient number, since it is larger than the sum of its proper divisors (678956713).

100202223031 is an equidigital number, since it uses as much as digits as its factorization.

100202223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101241.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100202223031 its reverse (130322202001), we get a palindrome (230524425032).

The spelling of 100202223031 in words is "one hundred billion, two hundred two million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 151 7057 94033 1065607 14198983 663590881 100202223031