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100020112212220 = 22571179143393187
BaseRepresentation
bin10110101111011110111111…
…010000100100000011111100
3111010010211101120222202202121
4112233132333100210003330
5101102212142211242340
6552420334421132324
730032133423133414
oct2657367720440374
9433124346882677
10100020112212220
1129962322908972
12b27469925a0a4
1343a6b18b4bb35
141a9addbd87644
15b86b4530394a
hex5af7bf4240fc

100020112212220 has 48 divisors (see below), whose sum is σ = 213002307721728. Its totient is φ = 39444230790720.

The previous prime is 100020112212191. The next prime is 100020112212247. The reversal of 100020112212220 is 22212211020001.

It is a happy number.

It is a super-4 number, since 4×1000201122122204 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100020112212194 and 100020112212203.

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, 254186467 + ... + 254579653.

It is an arithmetic number, because the mean of its divisors is an integer number (4437548077536).

Almost surely, 2100020112212220 is an apocalyptic number.

100020112212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020112212220 is an abundant number, since it is smaller than the sum of its proper divisors (112982195509508).

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

100020112212220 is a wasteful number, since it uses less digits than its factorization.

100020112212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572410 (or 572408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100020112212220 its reverse (22212211020001), we get a palindrome (122232323232221).

The spelling of 100020112212220 in words is "one hundred trillion, twenty billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 179143 358286 393187 716572 786374 895715 1572748 1791430 1965935 3582860 3931870 7863740 12719153 25438306 27916277 50876612 55832554 63595765 111665108 127191530 139581385 254383060 279162770 558325540 70436698741 140873397482 281746794964 352183493705 704366987410 1408733974820 5001005610611 10002011221222 20004022442444 25005028053055 50010056106110 100020112212220