Search a number
-
+
21121020222012 = 223217231500498737
BaseRepresentation
bin1001100110101100111101…
…11010000101101000111100
32202210011001012210012010200
410303112132322011220330
510232021322134101022
6112530510204003500
74306641366466344
oct463263672055074
982704035705120
1021121020222012
116803413322a37
12245148ab30590
13ba291bc342a9
145303972ddd24
15269615e2abac
hex13359ee85a3c

21121020222012 has 72 divisors (see below), whose sum is σ = 58987606388256. Its totient is φ = 6338106660864.

The previous prime is 21121020221953. The next prime is 21121020222019. The reversal of 21121020222012 is 21022202012112.

It is a happy number.

21121020222012 is a `hidden beast` number, since 21 + 1 + 210 + 202 + 220 + 12 = 666.

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 (21121020222019) 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, 750235293 + ... + 750263444.

It is an arithmetic number, because the mean of its divisors is an integer number (819272310948).

Almost surely, 221121020222012 is an apocalyptic number.

It is an amenable number.

21121020222012 is an abundant number, since it is smaller than the sum of its proper divisors (37866586166244).

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

21121020222012 is a wasteful number, since it uses less digits than its factorization.

21121020222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500498787 (or 1500498782 counting only the distinct ones).

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

Adding to 21121020222012 its reverse (21022202012112), we get a palindrome (42143222234124).

The spelling of 21121020222012 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 1500498737 3000997474 4501496211 6001994948 9002992422 13504488633 18005984844 25508478529 27008977266 34511470951 51016957058 54017954532 69022941902 76525435587 102033914116 103534412853 138045883804 153050871174 207068825706 229576306761 306101742348 310603238559 414137651412 459152613522 586695006167 621206477118 918305227044 1173390012334 1242412954236 1760085018501 2346780024668 3520170037002 5280255055503 7040340074004 10560510111006 21121020222012