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131045536215 = 325111950327701
BaseRepresentation
bin111101000001011101…
…1000011000111010111
3110112020210021222200100
41322002323003013113
54121340124124330
6140111304345143
712316300451616
oct1720273030727
9415223258610
10131045536215
1150637874a50
1221492a751b3
13c485696409
1464b22ab87d
15361ea3c060
hex1e82ec31d7

131045536215 has 96 divisors (see below), whose sum is σ = 261365045760. Its totient is φ = 60071328000.

The previous prime is 131045536189. The next prime is 131045536247. The reversal of 131045536215 is 512635540131.

131045536215 is a `hidden beast` number, since 1 + 3 + 104 + 5 + 536 + 2 + 15 = 666.

It is not a de Polignac number, because 131045536215 - 210 = 131045535191 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131045536215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4716865 + ... + 4744565.

It is an arithmetic number, because the mean of its divisors is an integer number (2722552560).

Almost surely, 2131045536215 is an apocalyptic number.

131045536215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131045536215 is a deficient number, since it is larger than the sum of its proper divisors (130319509545).

131045536215 is a wasteful number, since it uses less digits than its factorization.

131045536215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245 (or 28242 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 131045536215 in words is "one hundred thirty-one billion, forty-five million, five hundred thirty-six thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 503 627 855 1045 1509 1881 2515 3135 4527 5533 7545 9405 9557 16599 22635 27665 27701 28671 47785 49797 82995 83103 86013 105127 138505 143355 248985 249309 304711 315381 415515 430065 525635 526319 914133 946143 1246545 1523555 1576905 1578957 2631595 2742399 4570665 4730715 4736871 5789509 7894785 13711995 13933603 17368527 23684355 28947545 41800809 52105581 69668015 86842635 125402427 153269633 209004045 260527905 264738457 459808899 627012135 766348165 794215371 1323692285 1379426697 2299044495 2382646113 2912123027 3971076855 6897133485 8736369081 11913230565 14560615135 26209107243 43681845405 131045536215