Search a number
-
+
13095769122 = 2314372
BaseRepresentation
bin11000011001001000…
…11001010000100010
31020210200000000000000
430030210121100202
5203310004102442
610003251440430
7642345125622
oct141444312042
936720000000
1013095769122
115610247197
1226558b6116
131309193817
148c3378882
15519a6cd4c
hex30c919422

13095769122 has 90 divisors (see below), whose sum is σ = 30283366113. Its totient is φ = 4247276472.

The previous prime is 13095769111. The next prime is 13095769157. The reversal of 13095769122 is 22196759031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10565578521 + 2530190601 = 102789^2 + 50301^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80919.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 353939688 + ... + 353939724.

Almost surely, 213095769122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13095769122

13095769122 is an abundant number, since it is smaller than the sum of its proper divisors (17187596991).

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

13095769122 is an frugal number, since it uses more digits than its factorization.

13095769122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13095769122 in words is "thirteen billion, ninety-five million, seven hundred sixty-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1369 1458 1998 2187 2738 2997 4107 4374 5994 6561 8214 8991 12321 13122 17982 19683 24642 26973 36963 39366 53946 59049 73926 80919 110889 118098 161838 177147 221778 242757 332667 354294 485514 531441 665334 728271 998001 1062882 1456542 1594323 1996002 2184813 2994003 3188646 4369626 4782969 5988006 6554439 8982009 9565938 13108878 17964018 19663317 26946027 39326634 53892054 58989951 80838081 117979902 161676162 176969853 242514243 353939706 485028486 727542729 1455085458 2182628187 4365256374 6547884561 13095769122