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131403234134300 = 2252172832441111893
BaseRepresentation
bin11101111000001010110011…
…000101111100100100011100
3122020021000201022121010110112
4131320022303011330210130
5114210402310414244200
61143245451251225152
736451366432066502
oct3570126305744434
9566230638533415
10131403234134300
1138961886aa2487
12128a29b12a81b8
13584236c21c59b
142463d4411a672
15102d1765ea535
hex7782b317c91c

131403234134300 has 144 divisors (see below), whose sum is σ = 303111935656992. Its totient is φ = 49274014310400.

The previous prime is 131403234134297. The next prime is 131403234134321. The reversal of 131403234134300 is 3431432304131.

It is a happy number.

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, 1174309154 + ... + 1174421046.

It is an arithmetic number, because the mean of its divisors is an integer number (2104943997618).

Almost surely, 2131403234134300 is an apocalyptic number.

131403234134300 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 131403234134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151555967828496).

131403234134300 is an abundant number, since it is smaller than the sum of its proper divisors (171708701522692).

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

131403234134300 is a wasteful number, since it uses less digits than its factorization.

131403234134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114648 (or 114641 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131403234134300 its reverse (3431432304131), we get a palindrome (134834666438431).

The spelling of 131403234134300 in words is "one hundred thirty-one trillion, four hundred three billion, two hundred thirty-four million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 283 340 425 566 850 1132 1415 1700 2441 2830 4811 4882 5660 7075 9622 9764 12205 14150 19244 24055 24410 28300 41497 48110 48820 61025 82994 96220 111893 120275 122050 165988 207485 223786 240550 244100 414970 447572 481100 559465 690803 829940 1037425 1118930 1381606 1902181 2074850 2237860 2763212 2797325 3454015 3804362 4149700 5594650 6908030 7608724 9510905 11189300 11743651 13816060 17270075 19021810 23487302 31665719 34540150 38043620 46974604 47554525 58718255 63331438 69080300 95109050 117436510 126662876 158328595 190218100 234873020 273130813 293591275 316657190 538317223 546261626 587182550 633314380 791642975 1076634446 1092523252 1174365100 1365654065 1583285950 2153268892 2691586115 2731308130 3166571900 4643223821 5383172230 5462616260 6828270325 9286447642 10766344460 13457930575 13656540650 18572895284 23216119105 26915861150 27313081300 46432238210 53831722300 77296020079 92864476420 116080595525 154592040158 232161191050 309184080316 386480100395 464322382100 772960200790 1314032341343 1545920401580 1932400501975 2628064682686 3864801003950 5256129365372 6570161706715 7729602007900 13140323413430 26280646826860 32850808533575 65701617067150 131403234134300