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100022310312 = 2334678924189
BaseRepresentation
bin101110100100111001…
…0110101010110101000
3100120011201121211020120
41131021302311112220
53114321202412222
6113541041123240
710140434416101
oct1351162652650
9316151554216
10100022310312
1139467a94181
1217475329520
139580321602
144babdcb3a8
15290619515c
hex1749cb55a8

100022310312 has 32 divisors (see below), whose sum is σ = 250591255200. Its totient is φ = 33269372864.

The previous prime is 100022310293. The next prime is 100022310317. The reversal of 100022310312 is 213013220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022310291 and 100022310300.

It is not an unprimeable number, because it can be changed into a prime (100022310317) 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, 4450887 + ... + 4473302.

It is an arithmetic number, because the mean of its divisors is an integer number (7830976725).

Almost surely, 2100022310312 is an apocalyptic number.

100022310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022310312 is an abundant number, since it is smaller than the sum of its proper divisors (150568944888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022310312 is a wasteful number, since it uses less digits than its factorization.

100022310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924665 (or 8924661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100022310312 its reverse (213013220001), we get a palindrome (313035530313).

The spelling of 100022310312 in words is "one hundred billion, twenty-two million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 467 934 1401 1868 2802 3736 5604 11208 8924189 17848378 26772567 35696756 53545134 71393512 107090268 214180536 4167596263 8335192526 12502788789 16670385052 25005577578 33340770104 50011155156 100022310312