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112330311330 = 235311575231471
BaseRepresentation
bin110100010011101101…
…0001000011010100010
3101201221111022001120010
41220213122020122202
53320023024430310
6123334232225350
711054435615016
oct1504732103242
9351844261503
10112330311330
1143703594546
121992b23b256
13a792225953
1456188a2546
152dc69a5320
hex1a276886a2

112330311330 has 128 divisors (see below), whose sum is σ = 280788074496. Its totient is φ = 28729209600.

The previous prime is 112330311323. The next prime is 112330311347. The reversal of 112330311330 is 33113033211.

It is a junction number, because it is equal to n+sod(n) for n = 112330311297 and 112330311306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76362495 + ... + 76363965.

It is an arithmetic number, because the mean of its divisors is an integer number (2193656832).

Almost surely, 2112330311330 is an apocalyptic number.

112330311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112330311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140394037248).

112330311330 is an abundant number, since it is smaller than the sum of its proper divisors (168457763166).

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

112330311330 is a wasteful number, since it uses less digits than its factorization.

112330311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 112330311330 its reverse (33113033211), we get a palindrome (145443344541).

It can be divided in two parts, 112330 and 311330, that added together give a triangular number (423660 = T920).

The spelling of 112330311330 in words is "one hundred twelve billion, three hundred thirty million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 157 186 310 314 465 471 523 785 930 942 1046 1471 1569 1570 2355 2615 2942 3138 4413 4710 4867 5230 7355 7845 8826 9734 14601 14710 15690 16213 22065 24335 29202 32426 44130 45601 48639 48670 73005 81065 82111 91202 97278 136803 146010 162130 164222 228005 230947 243195 246333 273606 410555 456010 461894 486390 492666 684015 692841 769333 821110 1154735 1231665 1368030 1385682 1538666 2307999 2309470 2463330 2545441 3464205 3846665 4615998 5090882 6928410 7159357 7636323 7693330 11539995 12727205 14318714 15272646 21478071 23079990 23849323 25454410 35796785 38181615 42956142 47698646 71547969 71593570 76363230 107390355 119246615 120785281 143095938 214780710 238493230 241570562 357739845 362355843 603926405 715479690 724711686 1207852810 1811779215 3623558430 3744343711 7488687422 11233031133 18721718555 22466062266 37443437110 56165155665 112330311330