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1216425312135 = 3251116718181299
BaseRepresentation
bin10001101100111000100…
…110010011111110000111
311022021210202211102100100
4101230320212103332013
5124412214334442020
62330452412015143
7153612103360305
oct21547046237607
94267722742310
101216425312135
11429979416220
121779024614b3
138a929505807
1442c37b6d275
1521996be4a90
hex11b38993f87

1216425312135 has 96 divisors (see below), whose sum is σ = 2326735756800. Its totient is φ = 583004217600.

The previous prime is 1216425312097. The next prime is 1216425312139. The reversal of 1216425312135 is 5312135246121.

1216425312135 is a `hidden beast` number, since 1 + 2 + 1 + 642 + 5 + 3 + 1 + 2 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 1216425312135 - 213 = 1216425303943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1216425312135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216425312139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14921716 + ... + 15003014.

It is an arithmetic number, because the mean of its divisors is an integer number (24236830800).

Almost surely, 21216425312135 is an apocalyptic number.

1216425312135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1216425312135 is a deficient number, since it is larger than the sum of its proper divisors (1110310444665).

1216425312135 is a wasteful number, since it uses less digits than its factorization.

1216425312135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81669 (or 81666 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 1216425312135 in words is "one trillion, two hundred sixteen billion, four hundred twenty-five million, three hundred twelve thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 167 181 495 501 543 835 905 1503 1629 1837 1991 2505 2715 5511 5973 7515 8145 9185 9955 16533 17919 27555 29865 30227 81299 82665 89595 90681 151135 243897 272043 332497 406495 453405 731691 894289 997491 1219485 1360215 1662485 2682867 2992473 3658455 4471445 4987455 8048601 13414335 13576933 14715119 14962365 40243005 40730799 44145357 67884665 73575595 122192397 132436071 149346263 161866309 203653995 220726785 448038789 485598927 610961985 662180355 746731315 809331545 1344116367 1456796781 2240193945 2427994635 2457424873 6720581835 7283983905 7372274619 12287124365 22116823857 27031673603 36861373095 81095020809 110584119285 135158368015 243285062427 405475104045 1216425312135