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131303110201320 = 23352296537317203
BaseRepresentation
bin11101110110101101100011…
…001111011100111111101000
3122012220110021111202100010110
4131312231203033130333220
5114202232232202420240
61143131452140014320
736441223321516401
oct3566554317347750
9565813244670113
10131303110201320
1138923377709732
1212887509b313a0
135835aa3b39a25
14245d1668389a8
15102a76657ec80
hex776b633dcfe8

131303110201320 has 128 divisors (see below), whose sum is σ = 396235377244800. Its totient is φ = 34807871376384.

The previous prime is 131303110201303. The next prime is 131303110201363. The reversal of 131303110201320 is 23102011303131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14285839 + ... + 21603041.

It is an arithmetic number, because the mean of its divisors is an integer number (3095588884725).

Almost surely, 2131303110201320 is an apocalyptic number.

131303110201320 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 131303110201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198117688622400).

131303110201320 is an abundant number, since it is smaller than the sum of its proper divisors (264932267043480).

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

131303110201320 is a wasteful number, since it uses less digits than its factorization.

131303110201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7318099 (or 7318095 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131303110201320 its reverse (23102011303131), we get a palindrome (154405121504451).

The spelling of 131303110201320 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred ten million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 653 687 916 1145 1306 1374 1832 1959 2290 2612 2748 3265 3435 3918 4580 5224 5496 6530 6870 7836 9160 9795 13060 13740 15672 19590 26120 27480 39180 78360 149537 299074 448611 598148 747685 897222 1196296 1495370 1794444 2243055 2990740 3588888 4486110 5981480 7317203 8972220 14634406 17944440 21951609 29268812 36586015 43903218 58537624 73172030 87806436 109758045 146344060 175612872 219516090 292688120 439032180 878064360 1675639487 3351278974 4778133559 5026918461 6702557948 8378197435 9556267118 10053836922 13405115896 14334400677 16756394870 19112534236 20107673844 23890667795 25134592305 28668801354 33512789740 38225068472 40215347688 47781335590 50269184610 57337602708 67025579480 71672003385 95562671180 100538369220 114675205416 143344006770 191125342360 201076738440 286688013540 573376027080 1094192585011 2188385170022 3282577755033 4376770340044 5470962925055 6565155510066 8753540680088 10941925850110 13130311020132 16412888775165 21883851700220 26260622040264 32825777550330 43767703400440 65651555100660 131303110201320