Search a number
-
+
21162107260635 = 35112103494322901
BaseRepresentation
bin1001100111111001011111…
…11000101100111011011011
32202221002002122022000021220
410303330233320230323123
510233204443424320020
6113001423213503123
74312624513531065
oct463745770547333
982832078260256
1021162107260635
116819887943200
122459436aa1aa3
13ba6769279a73
14532373dd4735
1526a71d088240
hex133f2fe2cedb

21162107260635 has 96 divisors (see below), whose sum is σ = 37587902736384. Its totient is φ = 10158300768000.

The previous prime is 21162107260627. The next prime is 21162107260643. The reversal of 21162107260635 is 53606270126112.

It is an interprime number because it is at equal distance from previous prime (21162107260627) and next prime (21162107260643).

It is not a de Polignac number, because 21162107260635 - 23 = 21162107260627 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 924057685 + ... + 924080585.

It is an arithmetic number, because the mean of its divisors is an integer number (391540653504).

Almost surely, 221162107260635 is an apocalyptic number.

21162107260635 is a deficient number, since it is larger than the sum of its proper divisors (16425795475749).

21162107260635 is a wasteful number, since it uses less digits than its factorization.

21162107260635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27977 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

Adding to 21162107260635 its reverse (53606270126112), we get a palindrome (74768377386747).

The spelling of 21162107260635 in words is "twenty-one trillion, one hundred sixty-two billion, one hundred seven million, two hundred sixty thousand, six hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 103 121 165 309 363 515 605 1133 1545 1815 3399 4943 5665 12463 14829 16995 22901 24715 37389 54373 62315 68703 74145 114505 163119 186945 251911 271865 343515 509129 598103 755733 815595 1259555 1527387 1794309 2358803 2545645 2771021 2990515 3778665 5600419 7076409 7636935 8313063 8971545 11794015 13855105 16801257 25946833 28002095 35382045 41565315 61604609 77840499 84006285 113199643 129734165 184813827 285415163 308023045 339598929 389202495 565998215 856245489 924069135 1245196073 1427075815 1697994645 3735588219 4281227445 6225980365 11659563229 13697156803 18677941095 34978689687 41091470409 58297816145 68485784015 128255195519 174893448435 205457352045 384765586557 641275977595 1410807150709 1923827932785 4232421452127 7054035753545 21162107260635