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11312201120 = 2551161105367
BaseRepresentation
bin10101000100100001…
…00111110110100000
31002012100220100122212
422202100213312200
5141131410413440
65110255421252
7550220060123
oct124220476640
932170810585
1011312201120
114885496150
122238524828
1310b3807b3c
1479453c3ba
154631ad465
hex2a2427da0

11312201120 has 96 divisors (see below), whose sum is σ = 29632853376. Its totient is φ = 4046054400.

The previous prime is 11312201111. The next prime is 11312201143. The reversal of 11312201120 is 2110221311.

It is a junction number, because it is equal to n+sod(n) for n = 11312201095 and 11312201104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54677 + ... + 160043.

It is an arithmetic number, because the mean of its divisors is an integer number (308675556).

Almost surely, 211312201120 is an apocalyptic number.

11312201120 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 11312201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816426688).

11312201120 is an abundant number, since it is smaller than the sum of its proper divisors (18320652256).

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

11312201120 is a wasteful number, since it uses less digits than its factorization.

11312201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105454 (or 105446 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11312201120 its reverse (2110221311), we get a palindrome (13422422431).

The spelling of 11312201120 in words is "eleven billion, three hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 105367 107360 210734 421468 526835 842936 1053670 1159037 1685872 2107340 2318074 3371744 4214680 4636148 5795185 6427387 8429360 9272296 11590370 12854774 16858720 18544592 23180740 25709548 32136935 37089184 46361480 51419096 64273870 70701257 92722960 102838192 128547740 141402514 185445920 205676384 257095480 282805028 353506285 514190960 565610056 707012570 1028381920 1131220112 1414025140 2262440224 2828050280 5656100560 11312201120