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111020212112100 = 223523743123206081
BaseRepresentation
bin11001001111100011101000…
…010011100100101011100100
3112120002102120110121212221120
4121033203220103210223210
5104022423343300041400
61032041551550013540
732245642231424244
oct3117435023445344
9476072513555846
10111020212112100
11324134534a0065
12105505644a72b0
1349c4212b7cc35
141d5b59a8c5b24
15cc7d55642ca0
hex64f8e84e4ae4

111020212112100 has 144 divisors (see below), whose sum is σ = 330665504553216. Its totient is φ = 28738409472000.

The previous prime is 111020212112077. The next prime is 111020212112119. The reversal of 111020212112100 is 1211212020111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111020212112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6818941 + ... + 16387140.

It is an arithmetic number, because the mean of its divisors is an integer number (2296288226064).

Almost surely, 2111020212112100 is an apocalyptic number.

111020212112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111020212112100 is an abundant number, since it is smaller than the sum of its proper divisors (219645292441116).

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

111020212112100 is a wasteful number, since it uses less digits than its factorization.

111020212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23206566 (or 23206559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111020212112100 its reverse (1211212020111), we get a palindrome (112231424132211).

The spelling of 111020212112100 in words is "one hundred eleven trillion, twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 431 444 555 740 862 925 1110 1293 1724 1850 2155 2220 2586 2775 3700 4310 5172 5550 6465 8620 10775 11100 12930 15947 21550 25860 31894 32325 43100 47841 63788 64650 79735 95682 129300 159470 191364 239205 318940 398675 478410 797350 956820 1196025 1594700 2392050 4784100 23206081 46412162 69618243 92824324 116030405 139236486 232060810 278472972 348091215 464121620 580152025 696182430 858624997 1160304050 1392364860 1717249994 1740456075 2320608100 2575874991 3434499988 3480912150 4293124985 5151749982 6961824300 8586249970 10001820911 10303499964 12879374955 17172499940 20003641822 21465624925 25758749910 30005462733 40007283644 42931249850 50009104555 51517499820 60010925466 64396874775 85862499700 100018209110 120021850932 128793749550 150027313665 200036418220 250045522775 257587499100 300054627330 370067373707 500091045550 600109254660 740134747414 750136568325 1000182091100 1110202121121 1480269494828 1500273136650 1850336868535 2220404242242 3000546273300 3700673737070 4440808484484 5551010605605 7401347474140 9251684342675 11102021211210 18503368685350 22204042422420 27755053028025 37006737370700 55510106056050 111020212112100