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13131122014144 = 263001496913759
BaseRepresentation
bin1011111100010101001111…
…0111001111011111000000
31201111022201110200222221201
42333011103313033133000
53210120014213423034
643532204300230544
72523456305340121
oct277052367173700
951438643628851
1013131122014144
11420297205a742
121580a9623b454
1374334b14aa34
1433579a520048
1517b885c7e014
hexbf153dcf7c0

13131122014144 has 56 divisors (see below), whose sum is σ = 26072893548800. Its totient is φ = 6561575424000.

The previous prime is 13131122014133. The next prime is 13131122014181. The reversal of 13131122014144 is 44141022113131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954359137 + ... + 954372895.

It is an arithmetic number, because the mean of its divisors is an integer number (465587384800).

Almost surely, 213131122014144 is an apocalyptic number.

It is an amenable number.

13131122014144 is a deficient number, since it is larger than the sum of its proper divisors (12941771534656).

13131122014144 is a wasteful number, since it uses less digits than its factorization.

13131122014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21741 (or 21731 counting only the distinct ones).

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

Adding to 13131122014144 its reverse (44141022113131), we get a palindrome (57272144127275).

The spelling of 13131122014144 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty-two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 3001 4969 6002 9938 12004 13759 19876 24008 27518 39752 48016 55036 79504 96032 110072 159008 192064 220144 318016 440288 880576 14911969 29823938 41290759 59647876 68368471 82581518 119295752 136736942 165163036 238591504 273473884 330326072 477183008 546947768 660652144 954366016 1093895536 1321304288 2187791072 2642608576 4375582144 205173781471 410347562942 820695125884 1641390251768 3282780503536 6565561007072 13131122014144