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21442121020341 = 347285713236539
BaseRepresentation
bin1001110000000011000100…
…00000011011001110110101
32210220211212021120211120000
410320001202000123032311
510302301430440122331
6113334212512301513
74342066514315340
oct470014200331665
983824767524500
1021442121020341
11691760935933a
1224a3762b41899
13bc6ca250a988
14541b389d3457
15272b5ace80e6
hex13806201b3b5

21442121020341 has 40 divisors (see below), whose sum is σ = 36619470317760. Its totient is φ = 12248351019072.

The previous prime is 21442121020319. The next prime is 21442121020349. The reversal of 21442121020341 is 14302012124412.

21442121020341 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 212 + 102 + 0 + 341 = 666.

It is not a de Polignac number, because 21442121020341 - 210 = 21442121019317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442121020349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4998351 + ... + 8238188.

It is an arithmetic number, because the mean of its divisors is an integer number (915486757944).

Almost surely, 221442121020341 is an apocalyptic number.

21442121020341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21442121020341 is a deficient number, since it is larger than the sum of its proper divisors (15177349297419).

21442121020341 is a wasteful number, since it uses less digits than its factorization.

21442121020341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13239415 (or 13239406 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21442121020341 its reverse (14302012124412), we get a palindrome (35744133144753).

The spelling of 21442121020341 in words is "twenty-one trillion, four hundred forty-two billion, one hundred twenty-one million, twenty thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 2857 8571 19999 25713 59997 77139 179991 231417 539973 1619919 13236539 39709617 92655773 119128851 277967319 357386553 833901957 1072159659 2501705871 7505117613 37816791923 113450375769 264717543461 340351127307 794152630383 1021053381921 2382457891149 3063160145763 7147373673447 21442121020341