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112022220120 = 233517269204137
BaseRepresentation
bin110100001010100001…
…0110110110101011000
3101201011000120101212120
41220111002312311120
53313410142020440
6123243504541240
711044005105636
oct1502502666530
9351130511776
10112022220120
1143565694008
1219864021820
13a743454065
1455c99c4356
152da98e8dd0
hex1a150b6d58

112022220120 has 128 divisors (see below), whose sum is σ = 357159844800. Its totient is φ = 28010725376.

The previous prime is 112022220109. The next prime is 112022220131. The reversal of 112022220120 is 21022220211.

It is an interprime number because it is at equal distance from previous prime (112022220109) and next prime (112022220131).

It is a super-2 number, since 2×1120222201202 (a number of 23 digits) contains 22 as substring.

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 112022220120.

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, 446692 + ... + 650828.

Almost surely, 2112022220120 is an apocalyptic number.

112022220120 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 112022220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178579922400).

112022220120 is an abundant number, since it is smaller than the sum of its proper divisors (245137624680).

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

112022220120 is a wasteful number, since it uses less digits than its factorization.

112022220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204437 (or 204433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112022220120 its reverse (21022220211), we get a palindrome (133044440331).

Subtracting from 112022220120 its reverse (21022220211), we obtain a palindrome (90999999909).

It can be divided in two parts, 11202 and 2220120, that added together give a palindrome (2231322).

The spelling of 112022220120 in words is "one hundred twelve billion, twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 269 340 408 510 538 680 807 1020 1076 1345 1614 2040 2152 2690 3228 4035 4573 5380 6456 8070 9146 10760 13719 16140 18292 22865 27438 32280 36584 45730 54876 68595 91460 109752 137190 182920 204137 274380 408274 548760 612411 816548 1020685 1224822 1633096 2041370 2449644 3062055 3470329 4082740 4899288 6124110 6940658 8165480 10410987 12248220 13881316 17351645 20821974 24496440 27762632 34703290 41643948 52054935 54912853 69406580 83287896 104109870 109825706 138813160 164738559 208219740 219651412 274564265 329477118 416439480 439302824 549128530 658954236 823692795 933518501 1098257060 1317908472 1647385590 1867037002 2196514120 2800555503 3294771180 3734074004 4667592505 5601111006 6589542360 7468148008 9335185010 11202222012 14002777515 18670370020 22404444024 28005555030 37340740040 56011110060 112022220120