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21140433324131 = 11101103349529343
BaseRepresentation
bin1001100111010001001000…
…00001001100100001100011
32202212000011010221221211212
410303220210001030201203
510232331101412333011
6112543440410100335
74311226434233612
oct463504401144143
982760133857755
1021140433324131
116810675532990
1224551a841a6ab
13ba46c3b4cb74
145312b968d879
15269da03b608b
hex133a2404c863

21140433324131 has 32 divisors (see below), whose sum is σ = 23584180838400. Its totient is φ = 18789523632000.

The previous prime is 21140433324121. The next prime is 21140433324161. The reversal of 21140433324131 is 13142333404112.

It is a de Polignac number, because none of the positive numbers 2k-21140433324131 is a prime.

It is a super-2 number, since 2×211404333241312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21140433324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39672446 + ... + 40201788.

It is an arithmetic number, because the mean of its divisors is an integer number (737005651200).

Almost surely, 221140433324131 is an apocalyptic number.

21140433324131 is a deficient number, since it is larger than the sum of its proper divisors (2443747514269).

21140433324131 is a wasteful number, since it uses less digits than its factorization.

21140433324131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529907.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 21140433324131 its reverse (13142333404112), we get a palindrome (34282766728243).

The spelling of 21140433324131 in words is "twenty-one trillion, one hundred forty billion, four hundred thirty-three million, three hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 11 101 103 349 1111 1133 3839 10403 35249 35947 114433 387739 395417 529343 3630647 5822773 39937117 53463643 54522329 184740707 588100073 599745619 2032147777 5506755229 18658811407 19028292821 60574307519 205246925477 209311221031 1921857574921 21140433324131