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112000716120 = 23354731163853
BaseRepresentation
bin110100001001111000…
…0110100110101011000
3101201002112002212221010
41220103300310311120
53313334140403440
6123241420013520
711043324244026
oct1502360646530
9351075085833
10112000716120
1143554536807
12198589912a0
13a73bb651b7
1455c6bc7716
152da7a9c580
hex1a13c34d58

112000716120 has 128 divisors (see below), whose sum is σ = 344259901440. Its totient is φ = 29136944640.

The previous prime is 112000716109. The next prime is 112000716133. The reversal of 112000716120 is 21617000211.

It is a happy number.

112000716120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1120007161202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722114 + ... + 1785966.

It is an arithmetic number, because the mean of its divisors is an integer number (2689530480).

Almost surely, 2112000716120 is an apocalyptic number.

112000716120 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 112000716120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172129950720).

112000716120 is an abundant number, since it is smaller than the sum of its proper divisors (232259185320).

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

112000716120 is a wasteful number, since it uses less digits than its factorization.

112000716120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64225 (or 64221 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 112000716120 its reverse (21617000211), we get a palindrome (133617716331).

The spelling of 112000716120 in words is "one hundred twelve billion, seven hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 311 376 470 564 622 705 933 940 1128 1244 1410 1555 1866 1880 2488 2820 3110 3732 4665 5640 6220 7464 9330 12440 14617 18660 29234 37320 43851 58468 63853 73085 87702 116936 127706 146170 175404 191559 219255 255412 292340 319265 350808 383118 438510 510824 584680 638530 766236 877020 957795 1277060 1532472 1754040 1915590 2554120 3001091 3831180 6002182 7662360 9003273 12004364 15005455 18006546 19858283 24008728 30010910 36013092 39716566 45016365 59574849 60021820 72026184 79433132 90032730 99291415 119149698 120043640 158866264 180065460 198582830 238299396 297874245 360130920 397165660 476598792 595748490 794331320 933339301 1191496980 1866678602 2382993960 2800017903 3733357204 4666696505 5600035806 7466714408 9333393010 11200071612 14000089515 18666786020 22400143224 28000179030 37333572040 56000358060 112000716120