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131010121231440 = 24351124511367811
BaseRepresentation
bin11101110010011100101011…
…101111001110110001010000
3122011212110000121022112122120
4131302130223233032301100
5114132432212013401230
61142345115133334240
736411111635413053
oct3562345357166120
9564773017275576
10131010121231440
1138820098010100
121283a780637380
1358142806a6769
14244ccd08c4a9a
151022d19668310
hex77272bbcec50

131010121231440 has 120 divisors (see below), whose sum is σ = 446408867733024. Its totient is φ = 31760029382400.

The previous prime is 131010121231433. The next prime is 131010121231459. The reversal of 131010121231440 is 44132121010131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131010121231440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2255654866 + ... + 2255712945.

Almost surely, 2131010121231440 is an apocalyptic number.

131010121231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010121231440 is an abundant number, since it is smaller than the sum of its proper divisors (315398746501584).

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

131010121231440 is a wasteful number, since it uses less digits than its factorization.

131010121231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511367849 (or 4511367832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131010121231440 its reverse (44132121010131), we get a palindrome (175142242241571).

The spelling of 131010121231440 in words is "one hundred thirty-one trillion, ten billion, one hundred twenty-one million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 4511367811 9022735622 13534103433 18045471244 22556839055 27068206866 36090942488 45113678110 49625045921 54136413732 67670517165 72181884976 90227356220 99250091842 108272827464 135341034330 148875137763 180454712440 198500183684 216545654928 248125229605 270682068660 297750275526 360909424880 397000367368 496250459210 541364137320 545875505131 595500551052 744375688815 794000734736 992500918420 1082728274640 1091751010262 1191001102104 1488751377630 1637626515393 1985001836840 2183502020524 2382002204208 2729377525655 2977502755260 3275253030786 3970003673680 4367004041048 5458755051310 5955005510520 6550506061572 8188132576965 8734008082096 10917510102620 11910011021040 13101012123144 16376265153930 21835020205240 26202024246288 32752530307860 43670040410480 65505060615720 131010121231440