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1301112280 = 2351347139383
BaseRepresentation
bin100110110001101…
…0110010111011000
310100200021100111201
41031203112113120
510131041043110
6333035203544
744146162156
oct11543262730
93320240451
101301112280
11608497a06
123038a65b4
13179737330
14c4b303d6
157935eb3a
hex4d8d65d8

1301112280 has 128 divisors (see below), whose sum is σ = 3251404800. Its totient is φ = 465587712.

The previous prime is 1301112259. The next prime is 1301112283. The reversal of 1301112280 is 822111031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301112283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3396969 + ... + 3397351.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 21301112280 is an apocalyptic number.

1301112280 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 1301112280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

1301112280 is an abundant number, since it is smaller than the sum of its proper divisors (1950292520).

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

1301112280 is a wasteful number, since it uses less digits than its factorization.

1301112280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1301112280 is about 36070.9340050961. The cubic root of 1301112280 is about 1091.7040595807.

The spelling of 1301112280 in words is "one billion, three hundred one million, one hundred twelve thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 139 188 235 260 278 376 383 470 520 556 611 695 766 940 1112 1222 1390 1532 1807 1880 1915 2444 2780 3055 3064 3614 3830 4888 4979 5560 6110 6533 7228 7660 9035 9958 12220 13066 14456 15320 18001 18070 19916 24440 24895 26132 32665 36002 36140 39832 49790 52264 53237 65330 72004 72280 84929 90005 99580 106474 130660 144008 169858 180010 199160 212948 234013 261320 266185 339716 360020 424645 425896 468026 532370 679432 692081 720040 849290 936052 1064740 1170065 1384162 1698580 1872104 2129480 2340130 2502139 2768324 3397160 3460405 4680260 5004278 5536648 6920810 9360520 10008556 12510695 13841620 20017112 25021390 27683240 32527807 50042780 65055614 100085560 130111228 162639035 260222456 325278070 650556140 1301112280