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15103252131132 = 223111071949548657
BaseRepresentation
bin1101101111000111111111…
…1110100110110100111100
31222110212010121110002201110
43123301333332212310330
53434422430021144012
652042201021042020
73116113444630014
oct333617776466474
958425117402643
1015103252131132
1148a32870a5960
12183b1406b6310
138572cc721169
143a3003810c44
151b2d0c14873c
hexdbc7ffa6d3c

15103252131132 has 96 divisors (see below), whose sum is σ = 38823917932800. Its totient is φ = 4531635205120.

The previous prime is 15103252131053. The next prime is 15103252131137. The reversal of 15103252131132 is 23113125230151.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 15103252131132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15103252131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27253348 + ... + 27802004.

It is an arithmetic number, because the mean of its divisors is an integer number (404415811800).

Almost surely, 215103252131132 is an apocalyptic number.

15103252131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15103252131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411958966400).

15103252131132 is an abundant number, since it is smaller than the sum of its proper divisors (23720665801668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15103252131132 is a wasteful number, since it uses less digits than its factorization.

15103252131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550731 (or 550729 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 15103252131132 its reverse (23113125230151), we get a palindrome (38216377361283).

The spelling of 15103252131132 in words is "fifteen trillion, one hundred three billion, two hundred fifty-two million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 1949 2354 3531 3898 4708 5847 7062 7796 11694 14124 21439 23388 42878 64317 85756 128634 208543 257268 417086 548657 625629 834172 1097314 1251258 1645971 2194628 2293973 2502516 3291942 4587946 6035227 6583884 6881919 9175892 12070454 13763838 18105681 24140908 27527676 36211362 58706299 72422724 117412598 176118897 234825196 352237794 645769289 704475588 1069332493 1291538578 1937307867 2138664986 2583077156 3207997479 3874615734 4277329972 6415994958 7749231468 11762657423 12831989916 23525314846 35287972269 47050629692 70575944538 114418576751 141151889076 228837153502 343255730253 457674307004 686511460506 1258604344261 1373022921012 2517208688522 3775813032783 5034417377044 7551626065566 15103252131132