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103431134997 = 32375361191503
BaseRepresentation
bin110000001010011111…
…0011101111100010101
3100212222021221001121200
41200110332131330111
53143311332304442
6115303212103113
710321056066351
oct1402476357425
9325867831550
10103431134997
113a9571a7663
1218066a64a99
1399a4617038
145012a14461
152a5559234c
hex1814f9df15

103431134997 has 96 divisors (see below), whose sum is σ = 160045756416. Its totient is φ = 64278489600.

The previous prime is 103431134971. The next prime is 103431135013. The reversal of 103431134997 is 799431134301.

103431134997 is a `hidden beast` number, since 1 + 0 + 3 + 43 + 113 + 499 + 7 = 666.

It is not a de Polignac number, because 103431134997 - 210 = 103431133973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103431134957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205628248 + ... + 205628750.

It is an arithmetic number, because the mean of its divisors is an integer number (1667143296).

Almost surely, 2103431134997 is an apocalyptic number.

It is an amenable number.

103431134997 is a deficient number, since it is larger than the sum of its proper divisors (56614621419).

103431134997 is a wasteful number, since it uses less digits than its factorization.

103431134997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 103431134997 in words is "one hundred three billion, four hundred thirty-one million, one hundred thirty-four thousand, nine hundred ninety-seven".

Divisors: 1 3 9 37 53 61 111 159 183 191 333 477 503 549 573 1509 1719 1961 2257 3233 4527 5883 6771 7067 9699 10123 11651 17649 18611 20313 21201 26659 29097 30369 30683 34953 55833 63603 79977 91107 92049 96073 104859 119621 167499 239931 276147 288219 358863 374551 431087 617503 864657 986383 1076589 1123653 1135271 1293261 1626199 1852509 2959149 3370959 3405813 3554701 3879783 4878597 5091869 5557527 5860453 8877447 10217439 10664103 14635791 15275607 17581359 22847611 31992309 45826821 52744077 60169363 68542833 180508089 188399153 205628499 216836761 310604009 541524267 565197459 650510283 931812027 1695592377 1951530849 2795436081 11492348333 34477044999 103431134997