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202221100002112 = 2671197233996581
BaseRepresentation
bin101101111110101101000100…
…110101001110101101000000
3222112000011000011010202111121
4231332231010311032231000
5203001142303100031422
61554031031342522024
760410664241655662
oct5576550465165500
9875004004122447
10202221100002112
115948553a070204
121a81b979296314
1388ab4a239b969
1437d17a69ba532
15185a37cae38c7
hexb7eb44d4eb40

202221100002112 has 112 divisors (see below), whose sum is σ = 409179115762560. Its totient is φ = 99137005721600.

The previous prime is 202221100002073. The next prime is 202221100002139. The reversal of 202221100002112 is 211200001122202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2093749662 + ... + 2093846242.

Almost surely, 2202221100002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204589557881280).

202221100002112 is an abundant number, since it is smaller than the sum of its proper divisors (206958015760448).

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

202221100002112 is a wasteful number, since it uses less digits than its factorization.

202221100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99200 (or 99190 counting only the distinct ones).

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

Adding to 202221100002112 its reverse (211200001122202), we get a palindrome (413421101124314).

The spelling of 202221100002112 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 142 197 284 394 568 788 1136 1576 2272 2339 3152 4544 4678 6304 9356 12608 13987 18712 27974 37424 55948 74848 96581 111896 149696 166069 193162 223792 332138 386324 447584 460783 664276 772648 895168 921566 1328552 1545296 1843132 2657104 3090592 3686264 5314208 6181184 6857251 7372528 10628416 13714502 14745056 19026457 27429004 29490112 32715593 38052914 54858008 65431186 76105828 109716016 130862372 152211656 219432032 225902959 261724744 304423312 438864064 451805918 523449488 608846624 903611836 1046898976 1217693248 1350878447 1807223672 2093797952 2701756894 3614447344 5403513788 7228894688 10807027576 14457789376 16039110089 21614055152 32078220178 43228110304 44502882923 64156440356 86456220608 89005765846 128312880712 178011531692 256625761424 356023063384 513251522848 712046126768 1026503045696 1424092253536 2848184507072 3159704687533 6319409375066 12638818750132 25277637500264 50555275000528 101110550001056 202221100002112