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1303220121132 = 2233717323372817
BaseRepresentation
bin10010111101101101111…
…110001110111000101100
311121120211122120112222210
4102331231332032320230
5132322443322334012
62434405134010420
7163104003153546
oct22755576167054
94546748515883
101303220121132
11462768868926
121906a5946a10
1395b7c28c567
144710d0d0696
1523d7699a23c
hex12f6df8ee2c

1303220121132 has 96 divisors (see below), whose sum is σ = 3154608580032. Its totient is φ = 418413551616.

The previous prime is 1303220121127. The next prime is 1303220121149. The reversal of 1303220121132 is 2311210223031.

It is a super-2 number, since 2×13032201211322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303220121099 and 1303220121108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17860788 + ... + 17933604.

It is an arithmetic number, because the mean of its divisors is an integer number (32860506042).

Almost surely, 21303220121132 is an apocalyptic number.

1303220121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303220121132 is an abundant number, since it is smaller than the sum of its proper divisors (1851388458900).

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

1303220121132 is a wasteful number, since it uses less digits than its factorization.

1303220121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73267 (or 73265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1303220121132 its reverse (2311210223031), we get a palindrome (3614430344163).

The spelling of 1303220121132 in words is "one trillion, three hundred three billion, two hundred twenty million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 173 222 233 346 444 466 519 692 699 932 1038 1398 2076 2796 6401 8621 12802 17242 19203 25604 25863 34484 38406 40309 51726 72817 76812 80618 103452 120927 145634 161236 218451 241854 291268 436902 483708 873804 1491433 2694229 2982866 4474299 5388458 5965732 8082687 8948598 10776916 12597341 16165374 16966361 17897196 25194682 32330748 33932722 37792023 50389364 50899083 67865444 75584046 101798166 151168092 203596332 466101617 627755357 932203234 1255510714 1398304851 1864406468 1883266071 2511021428 2796609702 2935180453 3766532142 5593219404 5870360906 7533064284 8805541359 11740721812 17611082718 35222165436 108601676761 217203353522 325805030283 434406707044 651610060566 1303220121132