Search a number
-
+
31401142132221 = 3223523290050361
BaseRepresentation
bin1110010001111001001011…
…11011000001110111111101
311010011220211120210212211100
413020330211323001313331
513103434014341212341
6150441252513443313
76420441401120631
oct710744573016775
9133156746725740
1031401142132221
11a007171120174
123631902b70539
13146a165858cb4
147a7b75540dc1
15396c383433b6
hex1c8f25ec1dfd

31401142132221 has 24 divisors (see below), whose sum is σ = 47419753582656. Its totient is φ = 19985630005440.

The previous prime is 31401142132169. The next prime is 31401142132231. The reversal of 31401142132221 is 12223124110413.

31401142132221 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 11 + 421 + 3 + 2 + 221 = 666.

It is not a de Polignac number, because 31401142132221 - 213 = 31401142124029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401142132231) 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, 144916920 + ... + 145133441.

It is an arithmetic number, because the mean of its divisors is an integer number (1975823065944).

Almost surely, 231401142132221 is an apocalyptic number.

It is an amenable number.

31401142132221 is a deficient number, since it is larger than the sum of its proper divisors (16018611450435).

31401142132221 is a wasteful number, since it uses less digits than its factorization.

31401142132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290050913 (or 290050910 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31401142132221 its reverse (12223124110413), we get a palindrome (43624266242634).

The spelling of 31401142132221 in words is "thirty-one trillion, four hundred one billion, one hundred forty-two million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 523 1569 4707 12029 36087 108261 290050361 870151083 2610453249 6671158303 20013474909 60040424727 151696338803 455089016409 1365267049227 3489015792469 10467047377407 31401142132221