Search a number
-
+
21122022212001 = 3719508315217
BaseRepresentation
bin1001100110101110110101…
…01000011000000110100001
32202210020122001012120000000
410303113122220120012201
510232030400141241001
6112531153440050213
74310005254326064
oct463273250300641
982706561176000
1021122022212001
116803887985937
12245170a603969
13ba2a4b6ba189
145304504088db
15269673da1a86
hex1335daa181a1

21122022212001 has 32 divisors (see below), whose sum is σ = 33345478300800. Its totient is φ = 13340224528704.

The previous prime is 21122022211987. The next prime is 21122022212017. The reversal of 21122022212001 is 10021222022112.

It is a happy number.

21122022212001 is a `hidden beast` number, since 21 + 1 + 220 + 2 + 221 + 200 + 1 = 666.

It is not a de Polignac number, because 21122022212001 - 210 = 21122022210977 is a prime.

It is a super-2 number, since 2×211220222120012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122022212101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254116056 + ... + 254199161.

It is an arithmetic number, because the mean of its divisors is an integer number (1042046196900).

Almost surely, 221122022212001 is an apocalyptic number.

It is an amenable number.

21122022212001 is a deficient number, since it is larger than the sum of its proper divisors (12223456088799).

21122022212001 is an frugal number, since it uses more digits than its factorization.

21122022212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508315257 (or 508315239 counting only the distinct ones).

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

Adding to 21122022212001 its reverse (10021222022112), we get a palindrome (31143244234113).

The spelling of 21122022212001 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-two million, two hundred twelve thousand, one".

Divisors: 1 3 9 19 27 57 81 171 243 513 729 1539 2187 4617 13851 41553 508315217 1524945651 4574836953 9657989123 13724510859 28973967369 41173532577 86921902107 123520597731 260765706321 370561793193 782297118963 1111685379579 2346891356889 7040674070667 21122022212001