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21020214143331 = 33131512511580081
BaseRepresentation
bin1001100011110001001100…
…11001011010100101100011
32202102111211212100210211000
410301320212121122211203
510223343344310041311
6112412315243523043
74266442334116254
oct461704631324543
982374755323730
1021020214143331
116774693985007
122435a37229483
13b96275423c20
145295531b0b2b
15266bb6068056
hex131e2665a963

21020214143331 has 64 divisors (see below), whose sum is σ = 33893138119680. Its totient is φ = 12798648000000.

The previous prime is 21020214143329. The next prime is 21020214143393. The reversal of 21020214143331 is 13334141202012.

21020214143331 is a `hidden beast` number, since 2 + 10 + 2 + 0 + 214 + 1 + 433 + 3 + 1 = 666.

It is not a de Polignac number, because 21020214143331 - 21 = 21020214143329 is a prime.

It is a super-2 number, since 2×210202141433312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21020214143295 and 21020214143304.

It is not an unprimeable number, because it can be changed into a prime (21020214143531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12513211 + ... + 14093291.

It is an arithmetic number, because the mean of its divisors is an integer number (529580283120).

Almost surely, 221020214143331 is an apocalyptic number.

21020214143331 is a deficient number, since it is larger than the sum of its proper divisors (12872923976349).

21020214143331 is a wasteful number, since it uses less digits than its factorization.

21020214143331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580505 (or 1580499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21020214143331 its reverse (13334141202012), we get a palindrome (34354355345343).

The spelling of 21020214143331 in words is "twenty-one trillion, twenty billion, two hundred fourteen million, one hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 151 251 351 453 753 1359 1963 2259 3263 4077 5889 6777 9789 17667 29367 37901 53001 88101 113703 341109 492713 1023327 1478139 1580081 4434417 4740243 13303251 14220729 20541053 42662187 61623159 184869477 238592231 396600331 554608431 715776693 1189800993 2147330079 3101699003 3569402979 5155804303 6441990237 9305097009 10708208937 15467412909 27915291027 46402238727 59886649981 83745873081 139206716181 179659949943 538979849829 778526449753 1616939549487 2335579349259 7006738047777 21020214143331