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11312321041120 = 2551161105368117
BaseRepresentation
bin1010010010011101101011…
…1000001001001011100000
31111001110002002210110000211
42210213122320021023200
52440320113141303440
640020450351223504
72245200601215451
oct244473270111340
944043062713024
1011312321041120
11367158a352820
1213284a1517b94
13640993a71528
142b173abc5128
151493d58a1eea
hexa49dae092e0

11312321041120 has 96 divisors (see below), whose sum is σ = 29632886561376. Its totient is φ = 4046135654400.

The previous prime is 11312321041117. The next prime is 11312321041201. The reversal of 11312321041120 is 2114012321311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11312321041091 and 11312321041100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52576699 + ... + 52791418.

It is an arithmetic number, because the mean of its divisors is an integer number (308675901681).

Almost surely, 211312321041120 is an apocalyptic number.

11312321041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312321041120 is an abundant number, since it is smaller than the sum of its proper divisors (18320565520256).

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

11312321041120 is a wasteful number, since it uses less digits than its factorization.

11312321041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105368204 (or 105368196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11312321041120 its reverse (2114012321311), we get a palindrome (13426333362431).

The spelling of 11312321041120 in words is "eleven trillion, three hundred twelve billion, three hundred twenty-one million, forty-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 107360 105368117 210736234 421472468 526840585 842944936 1053681170 1159049287 1685889872 2107362340 2318098574 3371779744 4214724680 4636197148 5795246435 6427455137 8429449360 9272394296 11590492870 12854910274 16858898720 18544788592 23180985740 25709820548 32137275685 37089577184 46361971480 51419641096 64274551370 70702006507 92723942960 102839282192 128549102740 141404013014 185447885920 205678564384 257098205480 282808026028 353510032535 514196410960 565616052056 707020065070 1028392821920 1131232104112 1414040130140 2262464208224 2828080260280 5656160520560 11312321041120