Search a number
-
+
151105011045 = 353147109137463
BaseRepresentation
bin1000110010111010001…
…1110111110101100101
3112110000202201220001120
42030232203313311211
54433430340323140
6153230000444153
713626344254542
oct2145643676545
9473022656046
10151105011045
11590a092631a
1225350919659
1311331495c51
147456435bc9
153de5b051d0
hex232e8f7d65

151105011045 has 128 divisors (see below), whose sum is σ = 259652321280. Its totient is φ = 74915850240.

The previous prime is 151105011007. The next prime is 151105011053. The reversal of 151105011045 is 540110501151.

It is not a de Polignac number, because 151105011045 - 28 = 151105010789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 326360484 + ... + 326360946.

It is an arithmetic number, because the mean of its divisors is an integer number (2028533760).

Almost surely, 2151105011045 is an apocalyptic number.

151105011045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151105011045 is a deficient number, since it is larger than the sum of its proper divisors (108547310235).

151105011045 is a wasteful number, since it uses less digits than its factorization.

151105011045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 151105011045 its reverse (540110501151), we get a palindrome (691215512196).

The spelling of 151105011045 in words is "one hundred fifty-one billion, one hundred five million, eleven thousand, forty-five".

Divisors: 1 3 5 15 31 47 93 109 137 141 155 235 327 411 463 465 545 685 705 1389 1457 1635 2055 2315 3379 4247 4371 5123 6439 6945 7285 10137 12741 14353 14933 15369 16895 19317 21235 21761 21855 25615 32195 43059 44799 50467 50685 63431 63705 65283 71765 74665 76845 96585 108805 151401 158813 190293 199609 215295 223995 252335 317155 326415 462923 476439 598827 674591 701851 757005 794065 951465 998045 1388769 1564477 1966361 2023773 2105553 2314615 2371949 2382195 2981257 2994135 3372955 3509255 4693431 5899083 6913979 6943845 7115847 7822385 8943771 9831805 10118865 10527765 11859745 14906285 20741937 21757381 23467155 29495415 34569895 35579235 44718855 65272143 73530419 92418967 103709685 108786905 214333349 220591257 277256901 324957013 326360715 367652095 462094835 643000047 974871039 1071666745 1102956285 1386284505 1624785065 3215000235 4874355195 10073667403 30221002209 50368337015 151105011045