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221001021211100 = 2252131069159027863
BaseRepresentation
bin110010001111111111001111…
…010111010100000111011100
31001222111111021011002212222112
4302033333033113110013130
5212431340042412223400
62102010244554133152
764356540220261334
oct6217771727240734
91058444234085875
10221001021211100
1164466008a97299
122095358aa211b8
1396413cb294070
143c80713b980c4
151a83b2515c835
hexc8ffcf5d41dc

221001021211100 has 72 divisors (see below), whose sum is σ = 516945516390240. Its totient is φ = 81524043175680.

The previous prime is 221001021211079. The next prime is 221001021211109. The reversal of 221001021211100 is 1112120100122.

It is a super-2 number, since 2×2210010212111002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001021211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78124232 + ... + 80903631.

Almost surely, 2221001021211100 is an apocalyptic number.

221001021211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001021211100 is an abundant number, since it is smaller than the sum of its proper divisors (295944495179140).

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

221001021211100 is a wasteful number, since it uses less digits than its factorization.

221001021211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159028959 (or 159028952 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221001021211100 its reverse (1112120100122), we get a palindrome (222113141311222).

The spelling of 221001021211100 in words is "two hundred twenty-one trillion, one billion, twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1069 1300 2138 4276 5345 10690 13897 21380 26725 27794 53450 55588 69485 106900 138970 277940 347425 694850 1389700 159027863 318055726 636111452 795139315 1590278630 2067362219 3180557260 3975696575 4134724438 7951393150 8269448876 10336811095 15902786300 20673622190 41347244380 51684055475 103368110950 170000785547 206736221900 340001571094 680003142188 850003927735 1700007855470 2210010212111 3400015710940 4250019638675 4420020424222 8500039277350 8840040848444 11050051060555 17000078554700 22100102121110 44200204242220 55250255302775 110500510605550 221001021211100