Search a number
-
+
15120254533131 = 3411176715198669
BaseRepresentation
bin1101110000000111010101…
…1001100111111000001011
31222112111000112110121120000
43130001311121213320023
53440212240130030011
652054052105334043
73120255000644106
oct334016531477013
958474015417500
1015120254533131
1148aa511555160
1218424a6797323
13858aac075967
143a3b7795773d
151b34a4b47356
hexdc075667e0b

15120254533131 has 160 divisors (see below), whose sum is σ = 26654881144320. Its totient is φ = 8439666048000.

The previous prime is 15120254533091. The next prime is 15120254533133. The reversal of 15120254533131 is 13133545202151.

It is a happy number.

15120254533131 is a `hidden beast` number, since 1 + 5 + 120 + 25 + 453 + 31 + 31 = 666.

It is not a de Polignac number, because 15120254533131 - 218 = 15120254270987 is a prime.

It is a super-2 number, since 2×151202545331312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15120254533133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153192865 + ... + 153291533.

It is an arithmetic number, because the mean of its divisors is an integer number (166593007152).

Almost surely, 215120254533131 is an apocalyptic number.

15120254533131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15120254533131 is a deficient number, since it is larger than the sum of its proper divisors (11534626611189).

15120254533131 is a wasteful number, since it uses less digits than its factorization.

15120254533131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98927 (or 98918 counting only the distinct ones).

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

Adding to 15120254533131 its reverse (13133545202151), we get a palindrome (28253799735282).

The spelling of 15120254533131 in words is "fifteen trillion, one hundred twenty billion, two hundred fifty-four million, five hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 51 67 81 99 151 153 187 201 297 453 459 561 603 737 891 1139 1359 1377 1661 1683 1809 2211 2567 3417 4077 4983 5049 5427 6633 7701 10117 10251 12231 12529 14949 15147 19899 23103 28237 30351 30753 37587 44847 59697 69309 84711 91053 92259 98669 111287 112761 134541 171989 207927 254133 273159 296007 333861 338283 515967 762399 819477 888021 1001583 1014849 1085359 1547901 1677373 1891879 2287197 2664063 3004749 3256077 4643703 5032119 5675637 6610823 7992189 9014247 9768231 13931109 14899019 15096357 17026911 18451103 19832469 29304693 44697057 45289071 51080733 55353309 59497407 72719053 87914079 112383991 134091171 135867213 153242199 163889209 166059927 178492221 218157159 253283323 337151973 402273513 491667627 498179781 535476663 654471477 759849969 998234273 1011455919 1206820539 1236223901 1475002881 1494539343 1963414431 2279549907 2786116553 2994702819 3034367757 3708671703 4425008643 5890243293 6838649721 8358349659 8984108457 9103103271 10980577003 11126015109 13275025929 16969982641 20515949163 25075048977 26952325371 32941731009 33378045327 50909947923 75225146931 80856976113 98825193027 100134135981 152729843769 186669809051 225675440793 296475579081 458189531307 560009427153 889426737243 1374568593921 1680028281459 5040084844377 15120254533131