Search a number
-
+
112000120120 = 235717231023019
BaseRepresentation
bin110100001001110111…
…0100011010100111000
3101201002110222121101001
41220103232203110320
53313334012320440
6123241355134344
711043316212310
oct1502356432470
9351073877331
10112000120120
1143554169a49
12198587443b4
13a73b9b6b35
1455c6ab0440
152da79d0b9a
hex1a13ba3538

112000120120 has 128 divisors (see below), whose sum is σ = 318200140800. Its totient is φ = 34569824256.

The previous prime is 112000120091. The next prime is 112000120129. The reversal of 112000120120 is 21021000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

112000120120 is a modest number, since divided by 120120 gives 112000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 112000120097 and 112000120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402030 + ... + 620989.

It is an arithmetic number, because the mean of its divisors is an integer number (2485938600).

Almost surely, 2112000120120 is an apocalyptic number.

112000120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000120120 is an abundant number, since it is smaller than the sum of its proper divisors (206200020680).

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

112000120120 is a wasteful number, since it uses less digits than its factorization.

112000120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023077 (or 1023073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112000120120 its reverse (21021000211), we get a palindrome (133021120331).

The spelling of 112000120120 in words is "one hundred twelve billion, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 23 28 34 35 40 46 56 68 70 85 92 115 119 136 140 161 170 184 230 238 280 322 340 391 460 476 595 644 680 782 805 920 952 1190 1288 1564 1610 1955 2380 2737 3128 3220 3910 4760 5474 6440 7820 10948 13685 15640 21896 27370 54740 109480 1023019 2046038 4092076 5115095 7161133 8184152 10230190 14322266 17391323 20460380 23529437 28644532 34782646 35805665 40920760 47058874 57289064 69565292 71611330 86956615 94117748 117647185 121739261 139130584 143222660 164706059 173913230 188235496 235294370 243478522 286445320 329412118 347826460 400000429 470588740 486957044 608696305 658824236 695652920 800000858 823530295 941177480 973914088 1217392610 1317648472 1600001716 1647060590 2000002145 2434785220 2800003003 3200003432 3294121180 4000004290 4869570440 5600006006 6588242360 8000008580 11200012012 14000015015 16000017160 22400024024 28000030030 56000060060 112000120120