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221002021212100 = 225248730467148949
BaseRepresentation
bin110010010000000000001010…
…111110000000111111000100
31001222111120211211210012110121
4302100000022332000333010
5212431344114412241400
62102010532115431324
764356604052165212
oct6220001276007704
91058446754705417
10221002021212100
11644664815108a7
12209538098b5544
13964152a50182b
143c807aa905cb2
151a83b82d3e21a
hexc9000af80fc4

221002021212100 has 72 divisors (see below), whose sum is σ = 480578137905600. Its totient is φ = 88215799489920.

The previous prime is 221002021212061. The next prime is 221002021212109. The reversal of 221002021212100 is 1212120200122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221002021212109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483668426 + ... + 1483817374.

It is an arithmetic number, because the mean of its divisors is an integer number (6674696359800).

Almost surely, 2221002021212100 is an apocalyptic number.

221002021212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002021212100 is an abundant number, since it is smaller than the sum of its proper divisors (259576116693500).

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

221002021212100 is a wasteful number, since it uses less digits than its factorization.

221002021212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179917 (or 179910 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221002021212100 its reverse (1212120200122), we get a palindrome (222214141412222).

The spelling of 221002021212100 in words is "two hundred twenty-one trillion, two billion, twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 487 974 1948 2435 4870 9740 12175 24350 30467 48700 60934 121868 148949 152335 297898 304670 595796 609340 744745 761675 1489490 1523350 2978980 3046700 3723725 7447450 14837429 14894900 29674858 59349716 72538163 74187145 145076326 148374290 290152652 296748580 362690815 370935725 725381630 741871450 1450763260 1483742900 1813454075 3626908150 4538029183 7253816300 9076058366 18152116732 22690145915 45380291830 90760583660 113450729575 226901459150 453802918300 2210020212121 4420040424242 8840080848484 11050101060605 22100202121210 44200404242420 55250505303025 110501010606050 221002021212100