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331316256745300 = 2252231453832911903
BaseRepresentation
bin100101101010101001001001…
…1110010101010011101010100
31121110002112011120221000201011
41023111102103302222131110
5321411241143211322200
63132352330453342004
7126533544462665611
oct11325222362523524
91543075146830634
10331316256745300
1196627487599062
12311ab388037904
13112b3cb19593c8
145bb5b14453508
15284846986b5ba
hex12d5493caa754

331316256745300 has 144 divisors (see below), whose sum is σ = 750884780298240. Its totient is φ = 126651387202560.

The previous prime is 331316256745289. The next prime is 331316256745321. The reversal of 331316256745300 is 3547652613133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27834679149 + ... + 27834691051.

It is an arithmetic number, because the mean of its divisors is an integer number (5214477640960).

Almost surely, 2331316256745300 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 331316256745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375442390149120).

331316256745300 is an abundant number, since it is smaller than the sum of its proper divisors (419568523552940).

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

331316256745300 is a wasteful number, since it uses less digits than its factorization.

331316256745300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21722 (or 21715 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 49.

The spelling of 331316256745300 in words is "three hundred thirty-one trillion, three hundred sixteen billion, two hundred fifty-six million, seven hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1453 2300 2906 5812 7265 8329 11903 14530 16658 23806 29060 33316 33419 36325 41645 47612 59515 66838 72650 83290 119030 133676 145300 166580 167095 191567 208225 238060 273769 297575 334190 383134 416450 547538 595150 668380 766268 832900 835475 957835 1095076 1190300 1368845 1670950 1915670 2737690 3341900 3831340 4789175 5475380 6844225 9578350 12102037 13688450 17295059 19156700 24204074 27376900 34590118 48408148 60510185 69180236 86475295 99140087 121020370 172950590 198280174 242040740 278346851 302550925 345901180 396560348 397786357 432376475 495700435 556693702 605101850 795572714 864752950 991400870 1113387404 1210203700 1391734255 1591145428 1729505900 1982801740 1988931785 2280222001 2478502175 2783468510 3977863570 4560444002 4957004350 5566937020 6958671275 7955727140 9120888004 9914008700 9944658925 11401110005 13917342550 19889317850 22802220010 27834685100 39778635700 45604440020 57005550025 114011100050 144050546411 228022200100 288101092822 576202185644 720252732055 1440505464110 2881010928220 3313162567453 3601263660275 6626325134906 7202527320550 13252650269812 14405054641100 16565812837265 33131625674530 66263251349060 82829064186325 165658128372650 331316256745300