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221002110000120 = 23352417641843361
BaseRepresentation
bin110010010000000000010000…
…010000101101101111111000
31001222111121002000212002201210
4302100000100100231233320
5212431344310130000440
62102010545010443120
764356606210652341
oct6220002020555770
91058447060762653
10221002110000120
1164466517644629
12209538335934a0
139641542a1ac17
143c807b86190c8
151a83b8aa2ba80
hexc9001042dbf8

221002110000120 has 64 divisors (see below), whose sum is σ = 665757393697440. Its totient is φ = 58689357004800.

The previous prime is 221002110000083. The next prime is 221002110000127. The reversal of 221002110000120 is 21000011200122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221002110000096 and 221002110000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002110000127) 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, 3820892761 + ... + 3820950600.

Almost surely, 2221002110000120 is an apocalyptic number.

221002110000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002110000120 is an abundant number, since it is smaller than the sum of its proper divisors (444755283697320).

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

221002110000120 is a wasteful number, since it uses less digits than its factorization.

221002110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641843616 (or 7641843612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221002110000120 its reverse (21000011200122), we get a palindrome (242002121200242).

The spelling of 221002110000120 in words is "two hundred twenty-one trillion, two billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 7641843361 15283686722 22925530083 30567373444 38209216805 45851060166 61134746888 76418433610 91702120332 114627650415 152836867220 183404240664 229255300830 305673734440 458510601660 917021203320 1841684250001 3683368500002 5525052750003 7366737000004 9208421250005 11050105500006 14733474000008 18416842500010 22100211000012 27625263750015 36833685000020 44200422000024 55250527500030 73667370000040 110501055000060 221002110000120