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212021100172 = 227210926993677
BaseRepresentation
bin1100010101110101110…
…0010011111010001100
3202021021010002211211201
43011131130103322030
511433204400201142
6241222351555244
721214036421200
oct3053534237214
9667233084751
10212021100172
1181a10424732
123511152bb24
1316cbb960abb
14a394832b00
1557ad9b1ab7
hex315d713e8c

212021100172 has 72 divisors (see below), whose sum is σ = 435854034000. Its totient is φ = 89974717056.

The previous prime is 212021100143. The next prime is 212021100173. The reversal of 212021100172 is 271001120212.

212021100172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212021100173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57659598 + ... + 57663274.

It is an arithmetic number, because the mean of its divisors is an integer number (6053528250).

Almost surely, 2212021100172 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 212021100172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217927017000).

212021100172 is an abundant number, since it is smaller than the sum of its proper divisors (223832933828).

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

212021100172 is a wasteful number, since it uses less digits than its factorization.

212021100172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 212021100172 its reverse (271001120212), we get a palindrome (483022220384).

The spelling of 212021100172 in words is "two hundred twelve billion, twenty-one million, one hundred thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 2699 3052 3677 5341 5398 7354 10682 10796 14708 18893 21364 25739 37786 51478 75572 102956 132251 180173 264502 294191 360346 400793 529004 588382 720692 801586 1176764 1603172 2059337 2805551 4118674 5611102 8237348 9924223 11222204 14415359 19638857 19848446 28830718 39277714 39696892 57661436 69469561 78555428 138939122 277878244 486286927 972573854 1081740307 1945147708 2163480614 4326961228 7572182149 15144364298 30288728596 53005275043 106010550086 212021100172