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1422312132241 = 7211213136713499
BaseRepresentation
bin10100101100101000011…
…010001100111010010001
312000222020101012112220001
4110230220122030322101
5141300343401212431
63005222353050001
7204521135435200
oct24545032147221
95028211175801
101422312132241
114a9221134500
121ab7a1556901
13a417b313ba0
144cba99db237
1526ee6d96e61
hex14b2868ce91

1422312132241 has 72 divisors (see below), whose sum is σ = 1960082712000. Its totient is φ = 1022217577920.

The previous prime is 1422312132161. The next prime is 1422312132343.

1422312132241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1422312132241 - 211 = 1422312130193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1422312132041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105357510 + ... + 105371008.

It is an arithmetic number, because the mean of its divisors is an integer number (27223371000).

Almost surely, 21422312132241 is an apocalyptic number.

1422312132241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1422312132241 is a deficient number, since it is larger than the sum of its proper divisors (537770579759).

1422312132241 is a wasteful number, since it uses less digits than its factorization.

1422312132241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14915 (or 14897 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 1422312132241 in words is "one trillion, four hundred twenty-two billion, three hundred twelve million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1367 1573 5929 7007 9569 11011 13499 15037 17771 66983 77077 94493 105259 124397 148489 165407 175487 195481 661451 736813 870779 1039423 1157849 1228409 1368367 1633379 1930357 2150291 7275961 8104943 8598863 9578569 11433653 13512499 15052037 18453133 21233927 80035571 94587493 105364259 129171931 148637489 202984463 239890729 904203517 1040462423 1420891241 1679235103 2232829093 2638798019 9946238687 11754645721 15629803651 18471586133 29026778209 109408625557 129301102931 203187447463 1422312132241