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100222221020 = 22516730006653
BaseRepresentation
bin101110101010110110…
…1011011101011011100
3100120200122210100011212
41131111231123223130
53120223342033040
6114012542003552
710145412552125
oct1352555335334
9316618710155
10100222221020
113955a916039
12175102765b8
1395b287707c
144bca78904c
1529189d2d65
hex1755b5badc

100222221020 has 24 divisors (see below), whose sum is σ = 211726950624. Its totient is φ = 39848833856.

The previous prime is 100222221017. The next prime is 100222221133. The reversal of 100222221020 is 20122222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222220986 and 100222221004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14999987 + ... + 15006666.

It is an arithmetic number, because the mean of its divisors is an integer number (8821956276).

Almost surely, 2100222221020 is an apocalyptic number.

100222221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222221020 is an abundant number, since it is smaller than the sum of its proper divisors (111504729604).

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

100222221020 is a wasteful number, since it uses less digits than its factorization.

100222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30006829 (or 30006827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100222221020 its reverse (20122222001), we get a palindrome (120344443021).

The spelling of 100222221020 in words is "one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 167 334 668 835 1670 3340 30006653 60013306 120026612 150033265 300066530 600133060 5011111051 10022222102 20044444204 25055555255 50111110510 100222221020