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212110202096 = 241322917472549
BaseRepresentation
bin1100010110001011000…
…0001101010011110000
3202021111022202200200222
43011202300031103300
511433400202431341
6241235253432212
721216200653442
oct3054260152360
9667438680628
10212110202096
1181a56752291
123513733b668
131700425a030
14a3a25c8492
1557b671244b
hex3162c0d4f0

212110202096 has 80 divisors (see below), whose sum is σ = 444937668000. Its totient is φ = 97375509504.

The previous prime is 212110202041. The next prime is 212110202141. The reversal of 212110202096 is 690202011212.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 83211830 + ... + 83214378.

It is an arithmetic number, because the mean of its divisors is an integer number (5561720850).

Almost surely, 2212110202096 is an apocalyptic number.

212110202096 is a gapful number since it is divisible by the number (26) 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 212110202096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222468834000).

212110202096 is an abundant number, since it is smaller than the sum of its proper divisors (232827465904).

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

212110202096 is a wasteful number, since it uses less digits than its factorization.

212110202096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 212110202096 in words is "two hundred twelve billion, one hundred ten million, two hundred two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 916 1747 1832 2549 2977 3494 3664 5098 5954 6988 10196 11908 13976 20392 22711 23816 27952 33137 40784 45422 47632 66274 90844 132548 181688 265096 363376 400063 530192 583721 800126 1167442 1600252 2334884 3200504 4453103 4669768 5200819 6401008 7588373 8906206 9339536 10401638 15176746 17812412 20803276 30353492 35624824 41606552 57890339 60706984 71249648 83213104 115780678 121413968 231561356 463122712 926245424 1019760587 2039521174 4079042348 8158084696 13256887631 16316169392 26513775262 53027550524 106055101048 212110202096