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1101102131320 = 235732251167521
BaseRepresentation
bin10000000001011110110…
…011010010100001111000
310220021010200220211200021
4100001132303102201320
5121020024121200240
62201501144020224
7142360223455252
oct20013663224170
93807120824607
101101102131320
11394a7a4a1624
12159498a61674
137caab224099
143b4179dccd2
151d99760854a
hex1005ecd2878

1101102131320 has 64 divisors (see below), whose sum is σ = 2512548563040. Its totient is φ = 434211840000.

The previous prime is 1101102131309. The next prime is 1101102131347. The reversal of 1101102131320 is 231312011011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1101102131294 and 1101102131303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6489160 + ... + 6656680.

Almost surely, 21101102131320 is an apocalyptic number.

1101102131320 is a gapful number since it is divisible by the number (10) 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 1101102131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256274281520).

1101102131320 is an abundant number, since it is smaller than the sum of its proper divisors (1411446431720).

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

1101102131320 is a wasteful number, since it uses less digits than its factorization.

1101102131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169856 (or 169852 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1101102131320 its reverse (231312011011), we get a palindrome (1332414142331).

The spelling of 1101102131320 in words is "one trillion, one hundred one billion, one hundred two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2251 2920 4502 9004 11255 18008 22510 45020 90040 164323 167521 328646 335042 657292 670084 821615 837605 1314584 1340168 1643230 1675210 3286460 3350420 6572920 6700840 12229033 24458066 48916132 61145165 97832264 122290330 244580660 377089771 489161320 754179542 1508359084 1885448855 3016718168 3770897710 7541795420 15083590840 27527553283 55055106566 110110213132 137637766415 220220426264 275275532830 550551065660 1101102131320