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131011141242300 = 2235211101393072731
BaseRepresentation
bin11101110010011101101000…
…100010010000110110111100
3122011212112122200122110111120
4131302131220202100312330
5114132441304124223200
61142345404251550540
736411146132356464
oct3562355042206674
9564775580573446
10131011141242300
1138820570861390
121283aa0615b450
1358143b3acbc97
14244cd8a160ba4
151022d78e9d9a0
hex772768890dbc

131011141242300 has 144 divisors (see below), whose sum is σ = 417613048804224. Its totient is φ = 31445818400000.

The previous prime is 131011141242271. The next prime is 131011141242307. The reversal of 131011141242300 is 3242141110131.

131011141242300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011141242307) 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, 196203066 + ... + 196869665.

It is an arithmetic number, because the mean of its divisors is an integer number (2900090616696).

Almost surely, 2131011141242300 is an apocalyptic number.

131011141242300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011141242300 is an abundant number, since it is smaller than the sum of its proper divisors (286601907561924).

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

131011141242300 is a wasteful number, since it uses less digits than its factorization.

131011141242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393072860 (or 393072853 counting only the distinct ones).

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

Adding to 131011141242300 its reverse (3242141110131), we get a palindrome (134253282352431).

The spelling of 131011141242300 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-one million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 393072731 786145462 1179218193 1572290924 1965363655 2358436386 3930727310 4323800041 4716872772 5896090965 7861454620 8647600082 9826818275 11792181930 12971400123 17295200164 19653636550 21619000205 23584363860 25942800246 29480454825 39307273100 39700345831 43238000410 51885600492 58960909650 64857000615 79400691662 86476000820 108095001025 117921819300 119101037493 129714001230 158801383324 198501729155 216190002050 238202074986 259428002460 324285003075 397003458310 432380004100 436703804141 476404149972 595505187465 648570006150 794006916620 873407608282 992508645775 1191010374930 1297140012300 1310111412423 1746815216564 1985017291550 2183519020705 2382020749860 2620222824846 2977525937325 3970034583100 4367038041410 5240445649692 5955051874650 6550557062115 8734076082820 10917595103525 11910103749300 13101114124230 21835190207050 26202228248460 32752785310575 43670380414100 65505570621150 131011141242300