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12101331021300 = 22325213445923357
BaseRepresentation
bin1011000000011000111110…
…0010010110110111110100
31120211212122120021100000100
42300012033202112313310
53041232011220140200
641423135201314100
72356202156332413
oct260061742266764
946755576240010
1012101331021300
113946166975a04
12143539b335930
1369a1c5ba90a1
142db9c971747a
1515ebb3e26d00
hexb018f896df4

12101331021300 has 54 divisors (see below), whose sum is σ = 37930949792918. Its totient is φ = 3227021605440.

The previous prime is 12101331021293. The next prime is 12101331021317. The reversal of 12101331021300 is 312013310121.

12101331021300 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 331 + 0 + 21 + 300 = 666.

12101331021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 68563327716 + 12032767693584 = 261846^2 + 3468828^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6722960779 + ... + 6722962578.

Almost surely, 212101331021300 is an apocalyptic number.

12101331021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101331021300 is an abundant number, since it is smaller than the sum of its proper divisors (25829618771618).

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

12101331021300 is a wasteful number, since it uses less digits than its factorization.

12101331021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445923377 (or 13445923367 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12101331021300 its reverse (312013310121), we get a palindrome (12413344331421).

The spelling of 12101331021300 in words is "twelve trillion, one hundred one billion, three hundred thirty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13445923357 26891846714 40337770071 53783693428 67229616785 80675540142 121013310213 134459233570 161351080284 201688850355 242026620426 268918467140 336148083925 403377700710 484053240852 605066551065 672296167850 806755401420 1008444251775 1210133102130 1344592335700 2016888503550 2420266204260 3025332755325 4033777007100 6050665510650 12101331021300