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112201340020 = 225711388118773
BaseRepresentation
bin110100001111110111…
…0001001010001110100
3101201121111121122011221
41220133232021101310
53314242020340040
6123313344040124
711051311440250
oct1503756112164
9351544548157
10112201340020
1143647805490
12198b4003044
13a7715aa473
1456056cd260
152dba4cb74a
hex1a1fb89474

112201340020 has 96 divisors (see below), whose sum is σ = 293854853376. Its totient is φ = 34960972800.

The previous prime is 112201339997. The next prime is 112201340021. The reversal of 112201340020 is 20043102211.

It is a junction number, because it is equal to n+sod(n) for n = 112201339976 and 112201340003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201340021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5967354 + ... + 5986126.

It is an arithmetic number, because the mean of its divisors is an integer number (3060988056).

Almost surely, 2112201340020 is an apocalyptic number.

112201340020 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 112201340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146927426688).

112201340020 is an abundant number, since it is smaller than the sum of its proper divisors (181653513356).

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

112201340020 is a wasteful number, since it uses less digits than its factorization.

112201340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22681 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112201340020 its reverse (20043102211), we get a palindrome (132244442231).

The spelling of 112201340020 in words is "one hundred twelve billion, two hundred one million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3881 7762 15524 18773 19405 27167 37546 38810 42691 54334 75092 77620 85382 93865 108668 131411 135835 170764 187730 206503 213455 262822 271670 298837 375460 413006 426910 525644 543340 597674 657055 826012 853820 1032515 1195348 1314110 1445521 1494185 2065030 2628220 2891042 2988370 4130060 5782084 5976740 7227605 14455210 28910420 72858013 145716026 291432052 364290065 510006091 728580130 801438143 1020012182 1457160260 1602876286 2040024364 2550030455 3205752572 4007190715 5100060910 5610067001 8014381430 10200121820 11220134002 16028762860 22440268004 28050335005 56100670010 112201340020