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131212313420144 = 241121071424944453
BaseRepresentation
bin11101110101011000111111…
…010101001110000101110000
3122012120202220201120221201012
4131311120333111032011300
5114144240304213421034
61143022034333530052
736431530305563555
oct3565307725160560
9565522821527635
10131212313420144
1138898914256100
12128719aa343928
13582a363c209c8
1424589d1baca2c
1510282002b4cce
hex77563f54e170

131212313420144 has 120 divisors (see below), whose sum is σ = 282073832838000. Its totient is φ = 59079083514880.

The previous prime is 131212313420143. The next prime is 131212313420183. The reversal of 131212313420144 is 441024313212131.

It is a super-2 number, since 2×1312123134201442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131212313420144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212313420143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2951686622 + ... + 2951731074.

It is an arithmetic number, because the mean of its divisors is an integer number (2350615273650).

Almost surely, 2131212313420144 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 131212313420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141036916419000).

131212313420144 is an abundant number, since it is smaller than the sum of its proper divisors (150861519417856).

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

131212313420144 is a wasteful number, since it uses less digits than its factorization.

131212313420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58839 (or 58822 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131212313420144 its reverse (441024313212131), we get a palindrome (572236626632275).

The spelling of 131212313420144 in words is "one hundred thirty-one trillion, two hundred twelve billion, three hundred thirteen million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 121 176 214 242 428 484 856 968 1177 1712 1936 2354 4708 9416 12947 14249 18832 25894 28498 44453 51788 56996 88906 103576 113992 156739 177812 207152 227984 313478 355624 488983 626956 711248 977966 1253912 1524643 1724129 1955932 2507824 3049286 3448258 3911864 4756471 5378813 6098572 6896516 7823728 9512942 10757626 12197144 13793032 16771073 19025884 21515252 24394288 27586064 33542146 38051768 43030504 52321181 67084292 76103536 86061008 104642362 134168584 184481803 209284724 268337168 368963606 418569448 575532991 633410797 737927212 837138896 1151065982 1266821594 1475854424 2302131964 2533643188 2951708848 4604263928 5067286376 6967518767 9208527856 10134572752 13935037534 27870075068 55740150136 67774955279 76642706437 111480300272 135549910558 153285412874 271099821116 306570825748 542199642232 613141651496 745524508069 1084399284464 1226283302992 1491049016138 2982098032276 5964196064552 8200769588759 11928392129104 16401539177518 32803078355036 65606156710072 131212313420144