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1322414142231 = 37313372671819
BaseRepresentation
bin10011001111100110000…
…001100111001100010111
311200102101022111212001010
4103033212001213030113
5133131301010022411
62451301512303303
7164353440513000
oct23174601471427
94612338455033
101322414142231
1146a918342a86
121943619a1b33
139791a99cab0
14480103321a7
15245ebaac7a6
hex133e6067317

1322414142231 has 64 divisors (see below), whose sum is σ = 2274253184000. Its totient is φ = 678684521088.

The previous prime is 1322414142221. The next prime is 1322414142263.

It is a happy number.

1322414142231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1322414142231 - 26 = 1322414142167 is a prime.

It is a super-2 number, since 2×13224141422312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322414142211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840961 + ... + 1830858.

It is an arithmetic number, because the mean of its divisors is an integer number (35535206000).

Almost surely, 21322414142231 is an apocalyptic number.

1322414142231 is a deficient number, since it is larger than the sum of its proper divisors (951839041769).

1322414142231 is a wasteful number, since it uses less digits than its factorization.

1322414142231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671893 (or 2671879 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 1322414142231 in words is "one trillion, three hundred twenty-two billion, four hundred fourteen million, one hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 343 481 637 777 1029 1443 1813 1911 3367 4459 5439 10101 12691 13377 23569 38073 70707 164983 494949 2671819 8015457 18702733 34733647 56108199 98857303 104200941 130919131 243135529 296571909 392757393 692001121 729406587 916433917 1285144939 1701948703 2076003363 2749301751 3855434817 4844007847 5105846109 8996014573 11913640921 14532023541 26988043719 33908054929 35740922763 62972102011 101724164787 188916306033 440804714077 1322414142231