Search a number
-
+
112210102011020 = 225135910172424453
BaseRepresentation
bin11001100000110111110011…
…010001010100010010001100
3112201022011212221101122111212
4121200313303101110102030
5104201422242103323040
61034352335332033552
732430624634613036
oct3140676321242214
9481264787348455
10112210102011020
1132832045301612
12107030a01628b8
134a7c4a0a0b0c0
141d9cdd83cac56
15ce8c97972d65
hex660df345448c

112210102011020 has 96 divisors (see below), whose sum is σ = 260623743186240. Its totient is φ = 40325934873600.

The previous prime is 112210102011017. The next prime is 112210102011043. The reversal of 112210102011020 is 20110201012211.

It is a super-2 number, since 2×1122101020110202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210102010986 and 112210102011004.

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, 34662887 + ... + 37761566.

It is an arithmetic number, because the mean of its divisors is an integer number (2714830658190).

Almost surely, 2112210102011020 is an apocalyptic number.

112210102011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210102011020 is an abundant number, since it is smaller than the sum of its proper divisors (148413641175220).

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

112210102011020 is a wasteful number, since it uses less digits than its factorization.

112210102011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72424635 (or 72424633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112210102011020 its reverse (20110201012211), we get a palindrome (132320303023231).

The spelling of 112210102011020 in words is "one hundred twelve trillion, two hundred ten billion, one hundred two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 101 118 130 202 236 260 295 404 505 590 767 1010 1180 1313 1534 2020 2626 3068 3835 5252 5959 6565 7670 11918 13130 15340 23836 26260 29795 59590 77467 119180 154934 309868 387335 774670 1549340 72424453 144848906 289697812 362122265 724244530 941517889 1448489060 1883035778 3766071556 4273042727 4707589445 7314869753 8546085454 9415178890 14629739506 17092170908 18830357780 21365213635 29259479012 36574348765 42730427270 55549555451 73148697530 85460854540 95093306789 111099110902 146297395060 190186613578 222198221804 277747777255 380373227156 431577315427 475466533945 555495554510 863154630854 950933067890 1110991109020 1726309261708 1901866135780 2157886577135 4315773154270 5610505100551 8631546308540 11221010201102 22442020402204 28052525502755 56105051005510 112210102011020