Search a number
-
+
21121222100021 = 172971959585863
BaseRepresentation
bin1001100110101101010101…
…11100001100010000110101
32202210011120021122122200222
410303112222330030100311
510232022230324200041
6112530542214544125
74306646400435101
oct463265274142065
982704507578628
1021121222100021
11680350727896a
122451526668045
13ba29519c8334
145303b6050901
15269628a0674b
hex1335aaf0c435

21121222100021 has 16 divisors (see below), whose sum is σ = 23166983923200. Its totient is φ = 19166626714368.

The previous prime is 21121222099973. The next prime is 21121222100023. The reversal of 21121222100021 is 12000122212112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21121222100021 is a prime.

It is a super-2 number, since 2×211212221000212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121222100023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29438465 + ... + 30147398.

It is an arithmetic number, because the mean of its divisors is an integer number (1447936495200).

Almost surely, 221121222100021 is an apocalyptic number.

It is an amenable number.

21121222100021 is a deficient number, since it is larger than the sum of its proper divisors (2045761823179).

21121222100021 is a wasteful number, since it uses less digits than its factorization.

21121222100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59586628.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21121222100021 its reverse (12000122212112), we get a palindrome (33121344312133).

The spelling of 21121222100021 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 17 29 493 719 12223 20851 354467 59585863 1012959671 1727990027 29375830459 42842235497 728318003449 1242424829413 21121222100021