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131121230514144 = 25313105065088553
BaseRepresentation
bin11101110100000100001010…
…010111100000011111100000
3122012021001211000000220211020
4131310010022113200133200
5114141242240002423034
61142512132311045440
736422124216630633
oct3564041227403740
9565231730026736
10131121230514144
1138863224335782
121285820a970880
1358218a9954560
142454431141c1a
151025b6dd2c249
hex77410a5e07e0

131121230514144 has 48 divisors (see below), whose sum is σ = 370669632418512. Its totient is φ = 40344994003968.

The previous prime is 131121230514073. The next prime is 131121230514161. The reversal of 131121230514144 is 441415032121131.

It is a tau number, because it is divible by the number of its divisors (48).

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, 52532543029 + ... + 52532545524.

It is an arithmetic number, because the mean of its divisors is an integer number (7722284008719).

Almost surely, 2131121230514144 is an apocalyptic number.

It is an amenable number.

131121230514144 is an abundant number, since it is smaller than the sum of its proper divisors (239548401904368).

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

131121230514144 is a wasteful number, since it uses less digits than its factorization.

131121230514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105065088579 (or 105065088571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 131121230514144 its reverse (441415032121131), we get a palindrome (572536262635275).

The spelling of 131121230514144 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred thirty million, five hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 105065088553 210130177106 315195265659 420260354212 630390531318 840520708424 1260781062636 1365846151189 1681041416848 2521562125272 2731692302378 3362082833696 4097538453567 5043124250544 5463384604756 8195076907134 10086248501088 10926769209512 16390153814268 21853538419024 32780307628536 43707076838048 65560615257072 131121230514144