Search a number
-
+
3153105215106 = 2371124691132263
BaseRepresentation
bin101101111000100011101…
…101110101111010000010
3102011102201022202001122120
4231320203231311322002
5403130024413340411
610412303323345110
7443542613053440
oct55704355657202
912142638661576
103153105215106
111006251768a00
1242b114682196
1319b44b512042
14ac87ac3bb90
1557045c4c106
hex2de23b75e82

3153105215106 has 96 divisors (see below), whose sum is σ = 7923599760384. Its totient is φ = 818807589600.

The previous prime is 3153105215077. The next prime is 3153105215147. The reversal of 3153105215106 is 6015125013513.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23773531 + ... + 23905793.

It is an arithmetic number, because the mean of its divisors is an integer number (82537497504).

Almost surely, 23153105215106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3153105215106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961799880192).

3153105215106 is an abundant number, since it is smaller than the sum of its proper divisors (4770494545278).

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

3153105215106 is a wasteful number, since it uses less digits than its factorization.

3153105215106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136988 (or 136977 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 3153105215106 in words is "three trillion, one hundred fifty-three billion, one hundred five million, two hundred fifteen thousand, one hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 4691 5082 9382 14073 28146 32837 51601 65674 98511 103202 132263 154803 197022 264526 309606 361207 396789 567611 722414 793578 925841 1083621 1135222 1454893 1702833 1851682 2167242 2777523 2909786 3405666 3973277 4364679 5555046 7946554 8729358 10184251 11919831 16003823 20368502 23839662 30552753 32007646 48011469 61105506 96022938 112026761 224053522 336080283 620445733 672160566 1240891466 1861337199 3722674398 4343120131 6824903063 8686240262 13029360393 13649806126 20474709189 26058720786 40949418378 47774321441 75073933693 95548642882 143322964323 150147867386 225221801079 286645928646 450443602158 525517535851 1051035071702 1576552607553 3153105215106