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21214230100 = 2252767452329
BaseRepresentation
bin10011110000011101…
…110111011001010100
32000202110022112210221
4103300131313121110
5321421320330400
613425022324124
71350464660230
oct236035673124
960673275727
1021214230100
118aa6975078
124140729644
13200111219b
14105367b5c0
15842667c1a
hex4f0777654

21214230100 has 72 divisors (see below), whose sum is σ = 53396651840. Its totient is φ = 7164875520.

The previous prime is 21214229989. The next prime is 21214230137. The reversal of 21214230100 is 103241212.

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, 179265 + ... + 273064.

Almost surely, 221214230100 is an apocalyptic number.

21214230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214230100 is an abundant number, since it is smaller than the sum of its proper divisors (32182421740).

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

21214230100 is a wasteful number, since it uses less digits than its factorization.

21214230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452417 (or 452410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21214230100 its reverse (103241212), we get a palindrome (21317471312).

It can be divided in two parts, 212142 and 30100, that added together give a palindrome (242242).

The spelling of 21214230100 in words is "twenty-one billion, two hundred fourteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 23450 46900 452329 904658 1809316 2261645 3166303 4523290 6332606 9046580 11308225 12665212 15831515 22616450 30306043 31663030 45232900 60612086 63326060 79157575 121224172 151530215 158315150 212142301 303060430 316630300 424284602 606120860 757651075 848569204 1060711505 1515302150 2121423010 3030604300 4242846020 5303557525 10607115050 21214230100