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21121423122303 = 3275871391341051
BaseRepresentation
bin1001100110101101101101…
…11011000001111101111111
32202210012002021220122102200
410303112312323001331333
510232023133304403203
6112531014155322543
74306654361210640
oct463266673017577
982705067818380
1021121423122303
1168035aa799989
122451581a50453
13ba298454ca2a
145303d4a1b6c7
1526963b4b39a3
hex1335b6ec1f7f

21121423122303 has 48 divisors (see below), whose sum is σ = 34929871232256. Its totient is φ = 12047664009600.

The previous prime is 21121423122299. The next prime is 21121423122307. The reversal of 21121423122303 is 30322132412112.

21121423122303 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 42 + 312 + 2 + 303 = 666.

It is an interprime number because it is at equal distance from previous prime (21121423122299) and next prime (21121423122307).

It is not a de Polignac number, because 21121423122303 - 22 = 21121423122299 is a prime.

It is a super-3 number, since 3×211214231223033 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121423122307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 514496128 + ... + 514537178.

It is an arithmetic number, because the mean of its divisors is an integer number (727705650672).

Almost surely, 221121423122303 is an apocalyptic number.

21121423122303 is a deficient number, since it is larger than the sum of its proper divisors (13808448109953).

21121423122303 is a wasteful number, since it uses less digits than its factorization.

21121423122303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55564 (or 55561 counting only the distinct ones).

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

Adding to 21121423122303 its reverse (30322132412112), we get a palindrome (51443555534415).

The spelling of 21121423122303 in words is "twenty-one trillion, one hundred twenty-one billion, four hundred twenty-three million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 7 9 21 63 587 1761 4109 5283 12327 13913 36981 41051 41739 97391 123153 125217 287357 292173 369459 862071 876519 2586213 8166931 24096937 24500793 57168517 72290811 73502379 168678559 171505551 216872433 506035677 514516653 571142563 1518107031 1713427689 3997997941 5140283067 11993993823 35981981469 335260684481 1005782053443 2346824791367 3017346160329 7040474374101 21121423122303