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131352513215 = 57211894191307
BaseRepresentation
bin111101001010100111…
…0000100101010111111
3110120001011221000221212
41322111032010222333
54123002220410330
6140201552115035
712330015640400
oct1722516045277
9416034830855
10131352513215
1150785084350
1221559835a7b
13c504167b01
146500d799a7
15363b978295
hex1e95384abf

131352513215 has 96 divisors (see below), whose sum is σ = 202911609600. Its totient is φ = 80707038720.

The previous prime is 131352513209. The next prime is 131352513221. The reversal of 131352513215 is 512315253131.

It is an interprime number because it is at equal distance from previous prime (131352513209) and next prime (131352513221).

It is not a de Polignac number, because 131352513215 - 28 = 131352512959 is a prime.

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, 100498592 + ... + 100499898.

It is an arithmetic number, because the mean of its divisors is an integer number (2113662600).

Almost surely, 2131352513215 is an apocalyptic number.

131352513215 is a deficient number, since it is larger than the sum of its proper divisors (71559096385).

131352513215 is a wasteful number, since it uses less digits than its factorization.

131352513215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1838 counting only the distinct ones).

The product of its digits is 13500, while the sum is 32.

Adding to 131352513215 its reverse (512315253131), we get a palindrome (643667766346).

The spelling of 131352513215 in words is "one hundred thirty-one billion, three hundred fifty-two million, five hundred thirteen thousand, two hundred fifteen".

Divisors: 1 5 7 11 35 49 55 77 89 245 385 419 445 539 623 979 1307 2095 2695 2933 3115 4361 4609 4895 6535 6853 9149 14377 14665 20531 21805 23045 32263 34265 37291 45745 47971 64043 71885 100639 102655 116323 161315 186455 225841 239855 261037 320215 410201 503195 547633 581615 704473 814261 1129205 1279553 1305185 1827259 2051005 2738165 2871407 3522365 3833431 4071305 5699827 6023963 6397765 8956871 9136295 14357035 19167155 20099849 26834017 28499135 30119815 42167741 44784355 48739337 62698097 100499245 134170085 210838705 243696685 295174187 313490485 341175359 536132707 1475870935 1705876795 2388227513 2680663535 3752928949 11941137565 18764644745 26270502643 131352513215