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131202014213024 = 252927436561539
BaseRepresentation
bin11101110101001111011001…
…011100110111001110100000
3122012112210022221211000120122
4131311033121130313032200
5114144103211114304044
61143013212342055412
736431014136013626
oct3565173134671640
9565483287730518
10131202014213024
1138894509659387
121286b9b511a568
1358293b2252601
1424582d6001516
151027ceb002dee
hex7753d97373a0

131202014213024 has 72 divisors (see below), whose sum is σ = 267878230008480. Its totient is φ = 63253646258432.

The previous prime is 131202014213003. The next prime is 131202014213047. The reversal of 131202014213024 is 420312410202131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131202014212984 and 131202014213002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16714847 + ... + 23276385.

It is an arithmetic number, because the mean of its divisors is an integer number (3720530972340).

Almost surely, 2131202014213024 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 131202014213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939115004240).

131202014213024 is an abundant number, since it is smaller than the sum of its proper divisors (136676215795456).

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

131202014213024 is an equidigital number, since it uses as much as digits as its factorization.

131202014213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562350 (or 6562313 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131202014213024 its reverse (420312410202131), we get a palindrome (551514424415155).

The spelling of 131202014213024 in words is "one hundred thirty-one trillion, two hundred two billion, fourteen million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 743 841 928 1486 1682 2972 3364 5944 6728 11888 13456 21547 23776 26912 43094 86188 172376 344752 624863 689504 1249726 2499452 4998904 6561539 9997808 13123078 19995616 26246156 52492312 104984624 190284631 209969248 380569262 761138524 1522277048 3044554096 4875223477 5518254299 6089108192 9750446954 11036508598 19500893908 22073017196 39001787816 44146034392 78003575632 88292068784 141381480833 156007151264 176584137568 282762961666 565525923332 1131051846664 2262103693328 4100062944157 4524207386656 8200125888314 16400251776628 32800503553256 65601007106512 131202014213024