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131302120031220 = 22351928537106639
BaseRepresentation
bin11101110110101100101000…
…001110010000001111110100
3122012220100201111120111002210
4131312230220032100033310
5114202223220211444340
61143131210005133420
736441156636306165
oct3566545016201764
9565810644514083
10131302120031220
1138922a0979a236
12128872923ba270
135835976961b68
14245d0b112976c
15102a709691180
hex776b283903f4

131302120031220 has 144 divisors (see below), whose sum is σ = 388469068404480. Its totient is φ = 33132169711872.

The previous prime is 131302120031191. The next prime is 131302120031221. The reversal of 131302120031220 is 22130021203131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302120031221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14922661 + ... + 22029299.

It is an arithmetic number, because the mean of its divisors is an integer number (2697701863920).

Almost surely, 2131302120031220 is an apocalyptic number.

131302120031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131302120031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194234534202240).

131302120031220 is an abundant number, since it is smaller than the sum of its proper divisors (257166948373260).

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

131302120031220 is a wasteful number, since it uses less digits than its factorization.

131302120031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107542 (or 7107521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131302120031220 its reverse (22130021203131), we get a palindrome (153432141234351).

The spelling of 131302120031220 in words is "one hundred thirty-one trillion, three hundred two billion, one hundred twenty million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 853 1083 1140 1444 1706 1805 2166 2559 3412 3610 4265 4332 5118 5415 7220 8530 10236 10830 12795 16207 17060 21660 25590 32414 48621 51180 64828 81035 97242 162070 194484 243105 307933 324140 486210 615866 923799 972420 1231732 1539665 1847598 3079330 3695196 4618995 6158660 7106639 9237990 14213278 18475980 21319917 28426556 35533195 42639834 71066390 85279668 106599585 135026141 142132780 213199170 270052282 405078423 426398340 540104564 675130705 810156846 1350261410 1620313692 2025392115 2565496679 2700522820 4050784230 5130993358 6061963067 7696490037 8101568460 10261986716 12123926134 12827483395 15392980074 18185889201 24247852268 25654966790 30309815335 30785960148 36371778402 38482450185 51309933580 60619630670 72743556804 76964900370 90929446005 115177298273 121239261340 153929800740 181858892010 230354596546 345531894819 363717784020 460709193092 575886491365 691063789638 1151772982730 1382127579276 1727659474095 2188368667187 2303545965460 3455318948190 4376737334374 6565106001561 6910637896380 8753474668748 10941843335935 13130212003122 21883686671870 26260424006244 32825530007805 43767373343740 65651060015610 131302120031220