Search a number
-
+
100045065345 = 351933741641
BaseRepresentation
bin101110100101100100…
…1101000110010000001
3100120020022102220021120
41131023021220302001
53114343014042340
6113543212542453
710141132011231
oct1351311506201
9316208386246
10100045065345
1139479916395
1217480a81a29
139584c5aa24
144bb1031cc1
15290818c4d0
hex174b268c81

100045065345 has 128 divisors (see below), whose sum is σ = 178040056320. Its totient is φ = 47908454400.

The previous prime is 100045065311. The next prime is 100045065347. The reversal of 100045065345 is 543560540001.

It is not a de Polignac number, because 100045065345 - 28 = 100045065089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100045065347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156076225 + ... + 156076865.

It is an arithmetic number, because the mean of its divisors is an integer number (1390937940).

Almost surely, 2100045065345 is an apocalyptic number.

100045065345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100045065345 is a deficient number, since it is larger than the sum of its proper divisors (77994990975).

100045065345 is an equidigital number, since it uses as much as digits as its factorization.

100045065345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 100045065345 in words is "one hundred billion, forty-five million, sixty-five thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 37 41 57 95 111 123 185 205 285 361 555 615 641 703 779 1083 1517 1805 1923 2109 2337 3205 3515 3895 4551 5415 6859 7585 9615 10545 11685 12179 13357 14801 20577 22755 23717 26281 28823 34295 36537 40071 44403 60895 66785 71151 74005 78843 86469 102885 118585 131405 144115 182685 200355 222015 231401 253783 281219 355755 394215 432345 450623 499339 547637 694203 761349 843657 972397 1157005 1268915 1351869 1406095 1498017 1642911 2253115 2496695 2738185 2917191 3471015 3806745 4218285 4396619 4861985 6759345 7490085 8214555 8561837 9487441 10405103 13189857 14585955 18475543 21983095 25685511 28462323 31215309 42809185 47437205 52025515 55426629 65949285 92377715 128427555 142311615 156076545 162674903 180261379 277133145 351035317 488024709 540784137 813374515 901306895 1053105951 1755176585 2440123545 2703920685 5265529755 6669671023 20009013069 33348355115 100045065345