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21414602100 = 22352257277751
BaseRepresentation
bin10011111100011010…
…001110010101110100
32001021102100111112010
4103330122032111310
5322324114231400
613500541124220
71355450054163
oct237432162564
961242314463
1021414602100
119099a91571
124197859670
1320337998b8
1410721193da
15855047450
hex4fc68e574

21414602100 has 72 divisors (see below), whose sum is σ = 62200893888. Its totient is φ = 5688320000.

The previous prime is 21414601961. The next prime is 21414602113. The reversal of 21414602100 is 120641412.

It is a happy number.

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, 61776 + ... + 215975.

It is an arithmetic number, because the mean of its divisors is an integer number (863901304).

Almost surely, 221414602100 is an apocalyptic number.

21414602100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21414602100 is an abundant number, since it is smaller than the sum of its proper divisors (40786291788).

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

21414602100 is a wasteful number, since it uses less digits than its factorization.

21414602100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278025 (or 278018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 21414602100 in words is "twenty-one billion, four hundred fourteen million, six hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3855 5140 6425 7710 12850 15420 19275 25700 38550 77100 277751 555502 833253 1111004 1388755 1666506 2777510 3333012 4166265 5555020 6943775 8332530 13887550 16665060 20831325 27775100 41662650 71382007 83325300 142764014 214146021 285528028 356910035 428292042 713820070 856584084 1070730105 1427640140 1784550175 2141460210 3569100350 4282920420 5353650525 7138200700 10707301050 21414602100