Search a number
-
+
21121165366332 = 22347131285869273
BaseRepresentation
bin1001100110101101001111…
…00011110001010000111100
32202210011102022220021201020
410303112213203301100330
510232022121313210312
6112530532430544140
74306645111263543
oct463264743612074
982704368807636
1021121165366332
116803488249019
12245150b668050
13ba2943022cc5
145303ac6c315a
15269623a4b78c
hex1335a78f143c

21121165366332 has 48 divisors (see below), whose sum is σ = 50715496161792. Its totient is φ = 6837992986240.

The previous prime is 21121165366309. The next prime is 21121165366337. The reversal of 21121165366332 is 23366356112112.

It is a happy number.

It is a super-2 number, since 2×211211653663322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121165366337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142860753 + ... + 143008520.

It is an arithmetic number, because the mean of its divisors is an integer number (1056572836704).

Almost surely, 221121165366332 is an apocalyptic number.

It is an amenable number.

21121165366332 is an abundant number, since it is smaller than the sum of its proper divisors (29594330795460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21121165366332 is a wasteful number, since it uses less digits than its factorization.

21121165366332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285869458 (or 285869456 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The spelling of 21121165366332 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred sixty-five million, three hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 131 141 188 262 282 393 524 564 786 1572 6157 12314 18471 24628 36942 73884 285869273 571738546 857607819 1143477092 1715215638 3430431276 13435855831 26871711662 37448874763 40307567493 53743423324 74897749526 80615134986 112346624289 149795499052 161230269972 224693248578 449386497156 1760097113861 3520194227722 5280291341583 7040388455444 10560582683166 21121165366332