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15034122351132 = 22319295051450161
BaseRepresentation
bin1101101011000110011110…
…0001011011001000011100
31222020020200211120102021020
43122301213201123020130
53432304340310214012
651550325214004140
73111115365324633
oct332614741331034
958206624512236
1015034122351132
114876a32145a75
1218298691a6650
138509336743b1
1439d92660251a
151b1113130a8c
hexdac6785b21c

15034122351132 has 96 divisors (see below), whose sum is σ = 38206869523200. Its totient is φ = 4582988928000.

The previous prime is 15034122351109. The next prime is 15034122351187. The reversal of 15034122351132 is 23115322143051.

It is a happy number.

15034122351132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15034122351093 and 15034122351102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33172132 + ... + 33622292.

It is an arithmetic number, because the mean of its divisors is an integer number (397988224200).

Almost surely, 215034122351132 is an apocalyptic number.

15034122351132 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 15034122351132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19103434761600).

15034122351132 is an abundant number, since it is smaller than the sum of its proper divisors (23172747172068).

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

15034122351132 is a wasteful number, since it uses less digits than its factorization.

15034122351132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455267 (or 455265 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 15034122351132 its reverse (23115322143051), we get a palindrome (38149444494183).

The spelling of 15034122351132 in words is "fifteen trillion, thirty-four billion, one hundred twenty-two million, three hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 3306 5051 6612 10102 15153 20204 30306 60612 95969 146479 191938 287907 292958 383876 439437 450161 575814 585916 878874 900322 1151628 1350483 1757748 1800644 2700966 2783101 5401932 5566202 8349303 8553059 11132404 13054669 16698606 17106118 25659177 26109338 33397212 34212236 39164007 51318354 52218676 78328014 102636708 156656028 248038711 496077422 744116133 992154844 1488232266 2273763211 2976464532 4547526422 6821289633 9095052844 13642579266 27285158532 43201501009 65939133119 86403002018 129604503027 131878266238 172806004036 197817399357 259209006054 263756532476 395634798714 518418012108 791269597428 1252843529261 2505687058522 3758530587783 5011374117044 7517061175566 15034122351132