Search a number
-
+
221121012202112 = 2711295415385291
BaseRepresentation
bin110010010001101110111111…
…011000100111101010000000
31001222220221222112022210110202
4302101232333120213222000
5212440321313110431422
62102141331325344332
764401315550002431
oct6221567730475200
91058827875283422
10221121012202112
1164501992858870
12209728977080a8
13964c811645969
143c86457c37488
151a86ce9433b92
hexc91bbf627a80

221121012202112 has 64 divisors (see below), whose sum is σ = 497132369805600. Its totient is φ = 97043704396800.

The previous prime is 221121012202109. The next prime is 221121012202117. The reversal of 221121012202112 is 211202210121122.

221121012202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (221121012202117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2707651814 + ... + 2707733477.

Almost surely, 2221121012202112 is an apocalyptic number.

221121012202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221121012202112 is an abundant number, since it is smaller than the sum of its proper divisors (276011357603488).

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

221121012202112 is a wasteful number, since it uses less digits than its factorization.

221121012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415385345 (or 5415385333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221121012202112 its reverse (211202210121122), we get a palindrome (432323222323234).

The spelling of 221121012202112 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 20416 40832 5415385291 10830770582 21661541164 43323082328 59569238201 86646164656 119138476402 157046173439 173292329312 238276952804 314092346878 346584658624 476553905608 628184693756 693169317248 953107811216 1256369387512 1727507907829 1906215622432 2512738775024 3455015815658 3812431244864 5025477550048 6910031631316 7624862489728 10050955100096 13820063262632 20101910200192 27640126525264 55280253050528 110560506101056 221121012202112