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22000112120 = 2357213781931
BaseRepresentation
bin10100011111010011…
…110001000111111000
32002210020002111021102
4110133103301013320
5330024012041440
614035014430532
71406116603400
oct243723610770
962706074242
1022000112120
11936a542948
12431b962448
1320c7b9102c
1410c9bad800
1588b651b15
hex51f4f11f8

22000112120 has 96 divisors (see below), whose sum is σ = 58002940080. Its totient is φ = 7487746560.

The previous prime is 22000112117. The next prime is 22000112129. The reversal of 22000112120 is 2121100022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000112129) 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 23 ways as a sum of consecutive naturals, for example, 227555 + ... + 309485.

Almost surely, 222000112120 is an apocalyptic number.

22000112120 is a gapful number since it is divisible by the number (20) 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 22000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29001470040).

22000112120 is an abundant number, since it is smaller than the sum of its proper divisors (36002827960).

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

22000112120 is a wasteful number, since it uses less digits than its factorization.

22000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82093 (or 82082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22000112120 its reverse (2121100022), we get a palindrome (24121212142).

The spelling of 22000112120 in words is "twenty-two billion, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 137 140 196 245 274 280 392 490 548 685 959 980 1096 1370 1918 1960 2740 3836 4795 5480 6713 7672 9590 13426 19180 26852 33565 38360 53704 67130 81931 134260 163862 268520 327724 409655 573517 655448 819310 1147034 1638620 2294068 2867585 3277240 4014619 4588136 5735170 8029238 11224547 11470340 16058476 20073095 22449094 22940680 32116952 40146190 44898188 56122735 78571829 80292380 89796376 112245470 157143658 160584760 224490940 314287316 392859145 448981880 550002803 628574632 785718290 1100005606 1571436580 2200011212 2750014015 3142873160 4400022424 5500028030 11000056060 22000112120