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1301134120 = 2351113227471
BaseRepresentation
bin100110110001101…
…1011101100101000
310100200022110110121
41031203123230220
510131042242440
6333035453024
744146312636
oct11543335450
93320273417
101301134120
11608502360
123038b7174
13179744260
14c4b38356
157936634a
hex4d8dbb28

1301134120 has 64 divisors (see below), whose sum is σ = 3439376640. Its totient is φ = 436742400.

The previous prime is 1301134069. The next prime is 1301134123. The reversal of 1301134120 is 214311031.

It is a junction number, because it is equal to n+sod(n) for n = 1301134094 and 1301134103.

It is not an unprimeable number, because it can be changed into a prime (1301134123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108016 + ... + 119455.

It is an arithmetic number, because the mean of its divisors is an integer number (53740260).

Almost surely, 21301134120 is an apocalyptic number.

1301134120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301134120 is an abundant number, since it is smaller than the sum of its proper divisors (2138242520).

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

1301134120 is a wasteful number, since it uses less digits than its factorization.

1301134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227506 (or 227502 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1301134120 is about 36071.2367406497. The cubic root of 1301134120 is about 1091.7101678630.

Adding to 1301134120 its reverse (214311031), we get a palindrome (1515445151).

Subtracting from 1301134120 its reverse (214311031), we obtain a square (1086823089 = 329672).

The spelling of 1301134120 in words is "one billion, three hundred one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 227471 454942 909884 1137355 1819768 2274710 2502181 2957123 4549420 5004362 5914246 9098840 10008724 11828492 12510905 14785615 20017448 23656984 25021810 29571230 32528353 50043620 59142460 65056706 100087240 118284920 130113412 162641765 260226824 325283530 650567060 1301134120