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221012002221012 = 223245491349576233
BaseRepresentation
bin110010010000001001011101…
…111000100010101111010100
31001222112112121102210222201100
4302100021131320202233110
5212432030040032033022
62102015302343230100
764360406306312442
oct6220113570425724
91058475542728640
10221012002221012
116446a7335345a2
1220955734448330
13964245b29cb72
143c81076323b92
151a840691ea1ac
hexc9025de22bd4

221012002221012 has 36 divisors (see below), whose sum is σ = 558792039687700. Its totient is φ = 73654472437632.

The previous prime is 221012002221011. The next prime is 221012002221019. The reversal of 221012002221012 is 210122200210122.

It is a happy number.

221012002221012 is a `hidden beast` number, since 221 + 0 + 1 + 200 + 22 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113219516697156 + 107792485523856 = 10640466^2 + 10382316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2210120022210122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012002221011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674624353 + ... + 674951880.

Almost surely, 2221012002221012 is an apocalyptic number.

It is an amenable number.

221012002221012 is an abundant number, since it is smaller than the sum of its proper divisors (337780037466688).

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

221012002221012 is a wasteful number, since it uses less digits than its factorization.

221012002221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349580792 (or 1349580787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221012002221012 its reverse (210122200210122), we get a palindrome (431134202431134).

The spelling of 221012002221012 in words is "two hundred twenty-one trillion, twelve billion, two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4549 9098 13647 18196 27294 40941 54588 81882 163764 1349576233 2699152466 4048728699 5398304932 8097457398 12146186097 16194914796 24292372194 48584744388 6139222283917 12278444567834 18417666851751 24556889135668 36835333703502 55253000555253 73670667407004 110506001110506 221012002221012