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212211110112 = 25317919962057
BaseRepresentation
bin1100010110100011000…
…1001001000011100000
3202021202100122100110220
43011220301021003200
511434102021010422
6241253300323040
721221534450061
oct3055061110340
9667670570426
10212211110112
1181aa8703a41
12351650a3480
131701c12ac11
14a3b1b74568
1557c04e5e5c
hex3168c490e0

212211110112 has 96 divisors (see below), whose sum is σ = 562990176000. Its totient is φ = 69987253248.

The previous prime is 212211110099. The next prime is 212211110119. The reversal of 212211110112 is 211011112212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212211110091 and 212211110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211110119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3388588 + ... + 3450644.

It is an arithmetic number, because the mean of its divisors is an integer number (5864481000).

Almost surely, 2212211110112 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 212211110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281495088000).

212211110112 is an abundant number, since it is smaller than the sum of its proper divisors (350779065888).

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

212211110112 is a wasteful number, since it uses less digits than its factorization.

212211110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62448 (or 62440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212211110112 its reverse (211011112212), we get a palindrome (423222222324).

The spelling of 212211110112 in words is "two hundred twelve billion, two hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 199 358 398 537 597 716 796 1074 1194 1432 1592 2148 2388 2864 3184 4296 4776 5728 6368 8592 9552 17184 19104 35621 62057 71242 106863 124114 142484 186171 213726 248228 284968 372342 427452 496456 569936 744684 854904 992912 1139872 1489368 1709808 1985824 2978736 3419616 5957472 11108203 12349343 22216406 24698686 33324609 37048029 44432812 49397372 66649218 74096058 88865624 98794744 133298436 148192116 177731248 197589488 266596872 296384232 355462496 395178976 533193744 592768464 1066387488 1185536928 2210532397 4421064794 6631597191 8842129588 13263194382 17684259176 26526388764 35368518352 53052777528 70737036704 106105555056 212211110112