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1131202113132 = 2237132145154917
BaseRepresentation
bin10000011101100000111…
…001100110111001101100
311000010211102100100022110
4100131200321212321230
5122013200220110012
62223400031044020
7144504146212260
oct20354071467154
94003742310273
101131202113132
113a6816114453
12163299370610
1382897224600
143ca714320a0
151e659dd173c
hex10760e66e6c

1131202113132 has 144 divisors (see below), whose sum is σ = 3268740448512. Its totient is φ = 298127980800.

The previous prime is 1131202113127. The next prime is 1131202113169. The reversal of 1131202113132 is 2313112021311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1131202113099 and 1131202113108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20570938 + ... + 20625854.

It is an arithmetic number, because the mean of its divisors is an integer number (22699586448).

Almost surely, 21131202113132 is an apocalyptic number.

1131202113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131202113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634370224256).

1131202113132 is an abundant number, since it is smaller than the sum of its proper divisors (2137538335380).

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

1131202113132 is a wasteful number, since it uses less digits than its factorization.

1131202113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56408 (or 56393 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1131202113132 its reverse (2313112021311), we get a palindrome (3444314134443).

The spelling of 1131202113132 in words is "one trillion, one hundred thirty-one billion, two hundred two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 1451 2028 2366 2902 3549 4353 4732 5804 7098 8706 10157 14196 17412 18863 20314 30471 37726 40628 54917 56589 60942 75452 109834 113178 121884 132041 164751 219668 226356 245219 264082 329502 384419 396123 490438 528164 659004 713921 735657 768838 792246 980876 1153257 1427842 1471314 1537676 1584492 1716533 2141763 2306514 2855684 2942628 3433066 4283526 4613028 4997447 5149599 6866132 8567052 9280973 9994894 10299198 14992341 18561946 19989788 20598396 27842919 29984682 37123892 55685838 59969364 64966811 79684567 111371676 129933622 159369134 194900433 239053701 259867244 318738268 389800866 478107402 557791969 779601732 956214804 1035899371 1115583938 1673375907 2071798742 2231167876 3107698113 3346751814 4143597484 6215396226 6693503628 7251295597 12430792452 13466691823 14502591194 21753886791 26933383646 29005182388 40400075469 43507773582 53866767292 80800150938 87015547164 94266842761 161600301876 188533685522 282800528283 377067371044 565601056566 1131202113132