Search a number
-
+
202221101213120 = 2651157449176481
BaseRepresentation
bin101101111110101101000100…
…111001110110010111000000
3222112000011000020102021200202
4231332231010321312113000
5203001142303402304440
61554031031424504332
760410664255161423
oct5576550471662700
9875004006367622
10202221101213120
115948553a818040
121a81b97977b0a8
1388ab4a2703c32
1437d17a6c139ba
15185a37cc82615
hexb7eb44e765c0

202221101213120 has 56 divisors (see below), whose sum is σ = 525315269751408. Its totient is φ = 73534945894400.

The previous prime is 202221101213119. The next prime is 202221101213129. The reversal of 202221101213120 is 21312101122202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202221101213092 and 202221101213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221101213129) 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, 28724584721 + ... + 28724591760.

Almost surely, 2202221101213120 is an apocalyptic number.

202221101213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221101213120 is an abundant number, since it is smaller than the sum of its proper divisors (323094168538288).

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

202221101213120 is a wasteful number, since it uses less digits than its factorization.

202221101213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57449176509 (or 57449176499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 202221101213120 its reverse (21312101122202), we get a palindrome (223533202335322).

The spelling of 202221101213120 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 57449176481 114898352962 229796705924 287245882405 459593411848 574491764810 631940941291 919186823696 1148983529620 1263881882582 1838373647392 2297967059240 2527763765164 3159704706455 3676747294784 4595934118480 5055527530328 6319409412910 9191868236960 10111055060656 12638818825820 18383736473920 20222110121312 25277637651640 40444220242624 50555275303280 101110550606560 202221101213120