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2202101000022 = 2371152115236007
BaseRepresentation
bin100000000010110111011…
…100101010011101010110
321210112000012112101200010
4200002313130222131112
5242034400324000042
64403344202501050
7315045054442410
oct40026734523526
97715005471603
102202101000022
117799a6673440
122b6947204786
1312c870c31611
14788219db9b0
153c435b1559c
hex200b772a756

2202101000022 has 128 divisors (see below), whose sum is σ = 5506021122048. Its totient is φ = 570406636800.

The previous prime is 2202100999993. The next prime is 2202101000059. The reversal of 2202101000022 is 2200001012022.

It is a junction number, because it is equal to n+sod(n) for n = 2202100999971 and 2202101000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366586143 + ... + 366592149.

It is an arithmetic number, because the mean of its divisors is an integer number (43015790016).

Almost surely, 22202101000022 is an apocalyptic number.

2202101000022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202101000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753010561024).

2202101000022 is an abundant number, since it is smaller than the sum of its proper divisors (3303920122026).

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

2202101000022 is a wasteful number, since it uses less digits than its factorization.

2202101000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2202101000022 its reverse (2200001012022), we get a palindrome (4402102012044).

The spelling of 2202101000022 in words is "two trillion, two hundred two billion, one hundred one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 521 1042 1523 1563 3046 3126 3647 4569 5731 6007 7294 9138 10661 10941 11462 12014 16753 17193 18021 21322 21882 31983 33506 34386 36042 40117 42049 50259 63966 66077 80234 84098 100518 117271 120351 126147 132154 198231 234542 240702 252294 351813 396462 462539 703626 793483 925078 1387617 1586966 2380449 2775234 3129647 4760898 5554381 6259294 8728313 9148661 9388941 11108762 16663143 17456626 18297322 18777882 21907529 26184939 27445983 33326286 34426117 43815058 52369878 54891966 61098191 64040627 65722587 68852234 100635271 103278351 122196382 128081254 131445174 183294573 192121881 201270542 206556702 240982819 301905813 366589146 384243762 481965638 603811626 704446897 722948457 1408893794 1445896914 2113340691 4226681382 4766452381 9532904762 14299357143 28598714286 33365166667 52430976191 66730333334 100095500001 104861952382 157292928573 200191000002 314585857146 367016833337 734033666674 1101050500011 2202101000022