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21010002101100 = 22325247496690357
BaseRepresentation
bin1001100011011110001011…
…01101100100001101101100
32202101112111011121022102200
410301233011231210031230
510223211441014213400
6112403510044221500
74265631303153345
oct461570555441554
982345434538380
1021010002101100
116770323502591
122433a6723a890
13b9530882419c
14528c64c130cc
152667b9772b00
hex131bc5b6436c

21010002101100 has 108 divisors (see below), whose sum is σ = 67255847996064. Its totient is φ = 5483461530240.

The previous prime is 21010002101071. The next prime is 21010002101141. The reversal of 21010002101100 is 110120001012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 248302879 + ... + 248387478.

Almost surely, 221010002101100 is an apocalyptic number.

21010002101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010002101100 is an abundant number, since it is smaller than the sum of its proper divisors (46245845894964).

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

21010002101100 is a wasteful number, since it uses less digits than its factorization.

21010002101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496690424 (or 496690414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21010002101100 its reverse (110120001012), we get a palindrome (21120122102112).

The spelling of 21010002101100 in words is "twenty-one trillion, ten billion, two million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 42300 496690357 993380714 1490071071 1986761428 2483451785 2980142142 4470213213 4966903570 5960284284 7450355355 8940426426 9933807140 12417258925 14900710710 17880852852 22351066065 23344446779 24834517850 29801421420 37251776775 44702132130 46688893558 49669035700 70033340337 74503553550 89404264260 93377787116 111755330325 116722233895 140066680674 149007107100 210100021011 223510660650 233444467790 280133361348 350166701685 420200042022 447021321300 466888935580 583611169475 700333403370 840400084044 1050500105055 1167222338950 1400666806740 1750833508425 2101000210110 2334444677900 3501667016850 4202000420220 5252500525275 7003334033700 10505001050550 21010002101100