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21143211234112 = 2611290591033517
BaseRepresentation
bin1001100111010110010011…
…00110000101001101000000
32202212021022202002101221201
410303223021212011031000
510232402244033442422
6112545020202230544
74311355325126542
oct463531146051500
982767282071851
1021143211234112
1168118705a2860
1224558427b5454
13ba4a47514596
145314a05a3692
15269eb41da727
hex133ac9985340

21143211234112 has 56 divisors (see below), whose sum is σ = 45771866413920. Its totient is φ = 9610210536960.

The previous prime is 21143211234083. The next prime is 21143211234127.

21143211234112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19940778 + ... + 20974294.

Almost surely, 221143211234112 is an apocalyptic number.

21143211234112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21143211234112 is an abundant number, since it is smaller than the sum of its proper divisors (24628655179808).

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

21143211234112 is a wasteful number, since it uses less digits than its factorization.

21143211234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062599 (or 1062589 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2114321 and 1234112, that added together give a palindrome (3348433).

The spelling of 21143211234112 in words is "twenty-one trillion, one hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 29059 58118 116236 232472 319649 464944 639298 929888 1033517 1278596 1859776 2067034 2557192 4134068 5114384 8268136 10228768 11368687 16536272 20457536 22737374 33072544 45474748 66145088 90949496 181898992 363797984 727595968 30032970503 60065941006 120131882012 240263764024 330362675533 480527528048 660725351066 961055056096 1321450702132 1922110112192 2642901404264 5285802808528 10571605617056 21143211234112