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21322010100 = 22352431652869
BaseRepresentation
bin10011110110111001…
…000000110111110100
32001000222010100011210
4103312321000313310
5322131413310400
613443432401420
71353244044516
oct236671006764
961028110153
1021322010100
11905179a856
124170846270
13201a54ac31
141063ad5bb6
1584bd57950
hex4f6e40df4

21322010100 has 72 divisors (see below), whose sum is σ = 63126411040. Its totient is φ = 5553636480.

The previous prime is 21322010093. The next prime is 21322010123. The reversal of 21322010100 is 101022312.

It is a super-2 number, since 2×213220101002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 813535 + ... + 839334.

Almost surely, 221322010100 is an apocalyptic number.

21322010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322010100 is an abundant number, since it is smaller than the sum of its proper divisors (41804400940).

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

21322010100 is a wasteful number, since it uses less digits than its factorization.

21322010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652929 (or 1652922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21322010100 its reverse (101022312), we get a palindrome (21423032412).

The spelling of 21322010100 in words is "twenty-one billion, three hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 1652869 3305738 4958607 6611476 8264345 9917214 16528690 19834428 24793035 33057380 41321725 49586070 71073367 82643450 99172140 123965175 142146734 165286900 213220101 247930350 284293468 355366835 426440202 495860700 710733670 852880404 1066100505 1421467340 1776834175 2132201010 3553668350 4264402020 5330502525 7107336700 10661005050 21322010100