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332103110002312 = 231121916172911247
BaseRepresentation
bin100101110000010111100011…
…1111001101000011010001000
31121112212202011202011000200211
41023200233013321220122020
5322012134132130033222
63134154021301410504
7126644441442220105
oct11340570771503210
91545782152130624
10332103110002312
1196900157760200
12312b7983709a34
131134025c0057cc
145c01c3a771aac
15285db6d8c2277
hex12e0bc7e68688

332103110002312 has 96 divisors (see below), whose sum is σ = 689146900162560. Its totient is φ = 149922182009600.

The previous prime is 332103110002259. The next prime is 332103110002331. The reversal of 332103110002312 is 213200011301233.

It is a super-2 number, since 2×3321031100023122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 112620273 + ... + 115531519.

It is an arithmetic number, because the mean of its divisors is an integer number (7178613543360).

Almost surely, 2332103110002312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332103110002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344573450081280).

332103110002312 is an abundant number, since it is smaller than the sum of its proper divisors (357043790160248).

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

332103110002312 is a wasteful number, since it uses less digits than its factorization.

332103110002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912083 (or 2912068 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 332103110002312 its reverse (213200011301233), we get a palindrome (545303121303545).

The spelling of 332103110002312 in words is "three hundred thirty-two trillion, one hundred three billion, one hundred ten million, two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 191 242 382 484 617 764 968 1234 1528 2101 2468 4202 4936 6787 8404 13574 16808 23111 27148 46222 54296 74657 92444 117847 149314 184888 235694 298628 471388 597256 942776 1296317 2592634 2911247 5185268 5822494 10370536 11644988 14259487 23289976 28518974 32023717 57037948 64047434 114075896 128094868 256189736 352260887 556048177 704521774 1112096354 1409043548 1796239399 2224192708 2818087096 3592478798 4448385416 6116529947 7184957596 12233059894 14369915192 19758633389 24466119788 39517266778 48932239576 67281829417 79034533556 134563658834 158069067112 217344967279 269127317668 343081725209 434689934558 538254635336 686163450418 869379869116 1372326900836 1738759738232 2744653801672 3773898977299 7547797954598 15095595909196 30191191818392 41512888750289 83025777500578 166051555001156 332103110002312