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1322213012512 = 257419109312889
BaseRepresentation
bin10011001111011010000…
…010010111010000100000
311200101212022001101221021
4103033122002113100200
5133130343012400022
62451225525335224
7164345446111660
oct23173202272040
94611768041837
101322213012512
1146a824859277
12194306567514
13978b810b522
1447dd17381a0
15245d90cd7c7
hex133da097420

1322213012512 has 96 divisors (see below), whose sum is σ = 2985039388800. Its totient is φ = 564749273088.

The previous prime is 1322213012503. The next prime is 1322213012513. The reversal of 1322213012512 is 2152103122231.

It is not an unprimeable number, because it can be changed into a prime (1322213012513) 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 15 ways as a sum of consecutive naturals, for example, 102578164 + ... + 102591052.

It is an arithmetic number, because the mean of its divisors is an integer number (31094160300).

Almost surely, 21322213012512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322213012512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492519694400).

1322213012512 is an abundant number, since it is smaller than the sum of its proper divisors (1662826376288).

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

1322213012512 is a wasteful number, since it uses less digits than its factorization.

1322213012512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14418 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1322213012512 its reverse (2152103122231), we get a palindrome (3474316134743).

The spelling of 1322213012512 in words is "one trillion, three hundred twenty-two billion, two hundred thirteen million, twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 419 838 1093 1676 2186 2933 3352 4372 5866 6704 7651 8744 11732 12889 13408 15302 17488 23464 25778 30604 34976 46928 51556 61208 90223 93856 103112 122416 180446 206224 244832 360892 412448 457967 721784 915934 1443568 1831868 2887136 3205769 3663736 5400491 6411538 7327472 10800982 12823076 14087677 14654944 21601964 25646152 28175354 37803437 43203928 51292304 56350708 75606874 86407856 98613739 102584608 112701416 151213748 172815712 197227478 225402832 302427496 394454956 450805664 604854992 788909912 1209709984 1577819824 3155639648 5902736663 11805473326 23610946652 41319156641 47221893304 82638313282 94443786608 165276626564 188887573216 330553253128 661106506256 1322213012512