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102202221112120 = 23526935926457793
BaseRepresentation
bin10111001111001111001111…
…000101011010101100111000
3111101212102210111212020210001
4113033033033011122230320
5101343440122101041440
61001211015140002344
730345603212554003
oct2717171705325470
9441772714766701
10102202221112120
112a62379a458608
12b5675850903b4
134504821c104bc
141b3488475853a
15bc37aac0db9a
hex5cf3cf15ab38

102202221112120 has 64 divisors (see below), whose sum is σ = 231452781912000. Its totient is φ = 40615462330368.

The previous prime is 102202221112097. The next prime is 102202221112133. The reversal of 102202221112120 is 21211122202201.

It is a super-2 number, since 2×1022022211121202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9366057 + ... + 17091736.

It is an arithmetic number, because the mean of its divisors is an integer number (3616449717375).

Almost surely, 2102202221112120 is an apocalyptic number.

102202221112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202221112120 is an abundant number, since it is smaller than the sum of its proper divisors (129250560799880).

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

102202221112120 is a wasteful number, since it uses less digits than its factorization.

102202221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26458432 (or 26458428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102202221112120 its reverse (21211122202201), we get a palindrome (123413343314321).

The spelling of 102202221112120 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 269 359 538 718 1076 1345 1436 1795 2152 2690 2872 3590 5380 7180 10760 14360 96571 193142 386284 482855 772568 965710 1931420 3862840 26457793 52915586 105831172 132288965 211662344 264577930 529155860 1058311720 7117146317 9498347687 14234292634 18996695374 28468585268 35585731585 37993390748 47491738435 56937170536 71171463170 75986781496 94983476870 142342926340 189966953740 284685852680 379933907480 2555055527803 5110111055606 10220222111212 12775277639015 20440444222424 25550555278030 51101110556060 102202221112120