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221210021211320 = 235173211151501261
BaseRepresentation
bin110010010011000001111000…
…101111000010110010111000
31002000020110201201110221210102
4302103001320233002302320
5212443301110412230240
62102250251505334532
764410616354050131
oct6223017057026270
91060213651427712
10221210021211320
11645367090498a9
1220987b98637448
13965802806364b
143c8a89d290c88
151a892a87ad815
hexc93078bc2cb8

221210021211320 has 64 divisors (see below), whose sum is σ = 502972069739040. Its totient is φ = 87555608179200.

The previous prime is 221210021211269. The next prime is 221210021211379. The reversal of 221210021211320 is 23112120012122.

It is a super-2 number, since 2×2212100212113202 (a number of 29 digits) contains 22 as substring.

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 = 221210021211292 and 221210021211301.

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, 74290511 + ... + 77210750.

Almost surely, 2221210021211320 is an apocalyptic number.

221210021211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210021211320 is an abundant number, since it is smaller than the sum of its proper divisors (281762048527720).

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

221210021211320 is a wasteful number, since it uses less digits than its factorization.

221210021211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151501656 (or 151501652 counting only the distinct ones).

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

Adding to 221210021211320 its reverse (23112120012122), we get a palindrome (244322141223442).

The spelling of 221210021211320 in words is "two hundred twenty-one trillion, two hundred ten billion, twenty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 211 346 422 692 844 865 1055 1384 1688 1730 2110 3460 4220 6920 8440 36503 73006 146012 182515 292024 365030 730060 1460120 151501261 303002522 606005044 757506305 1212010088 1515012610 3030025220 6060050440 26209718153 31966766071 52419436306 63933532142 104838872612 127867064284 131048590765 159833830355 209677745224 255734128568 262097181530 319667660710 524194363060 639335321420 1048388726120 1278670642840 5530250530283 11060501060566 22121002121132 27651252651415 44242004242264 55302505302830 110605010605660 221210021211320