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112334311012 = 227113115717489
BaseRepresentation
bin110100010011110100…
…1011000111001100100
3101201221202211021002111
41220213221120321210
53320030040423022
6123334454050404
711054514613630
oct1504751307144
9351852737074
10112334311012
1143705876570
1219930649a04
13a792cc6321
145619223dc0
152dc6ee5477
hex1a27a58e64

112334311012 has 96 divisors (see below), whose sum is σ = 253194117120. Its totient is φ = 42322176000.

The previous prime is 112334310997. The next prime is 112334311049. The reversal of 112334311012 is 210113433211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14996164 + ... + 15003652.

It is an arithmetic number, because the mean of its divisors is an integer number (2637438720).

Almost surely, 2112334311012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112334311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126597058560).

112334311012 is an abundant number, since it is smaller than the sum of its proper divisors (140859806108).

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

112334311012 is a wasteful number, since it uses less digits than its factorization.

112334311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 112334311012 its reverse (210113433211), we get a palindrome (322447744223).

The spelling of 112334311012 in words is "one hundred twelve billion, three hundred thirty-four million, three hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 1571 2387 3142 4774 6284 7489 9548 10997 14978 17281 21994 29956 34562 43988 48701 52423 69124 82379 97402 104846 120967 164758 194804 209692 232159 241934 329516 340907 464318 483868 535711 576653 681814 928636 1071422 1153306 1363628 1625113 2142844 2306612 2553749 3250226 3749977 5107498 6500452 7499954 10214996 11765219 14999908 17876243 23530438 35752486 47060876 71504972 82356533 129417409 164713066 258834818 329426132 364721789 517669636 729443578 905921863 1458887156 1811843726 2553052523 3623687452 4011939679 5106105046 8023879358 10212210092 16047758716 28083577753 56167155506 112334311012