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12300100112982 = 2311223739996781
BaseRepresentation
bin1011001011111101011100…
…0110010001001001010110
31121112212201010101101201210
42302333113012101021112
53103011101112103412
642054331001002250
72406436642620423
oct262772706211126
947485633341653
1012300100112982
113a1249693a500
121467a12783386
136b2b821a1536
14307484140d4a
15164e492a783c
hexb2fd7191256

12300100112982 has 96 divisors (see below), whose sum is σ = 28253745918720. Its totient is φ = 3560418417600.

The previous prime is 12300100112953. The next prime is 12300100113017. The reversal of 12300100112982 is 28921100100321.

It is a congruent number.

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, 11841432 + ... + 12838212.

It is an arithmetic number, because the mean of its divisors is an integer number (294309853320).

Almost surely, 212300100112982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300100112982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126872959360).

12300100112982 is an abundant number, since it is smaller than the sum of its proper divisors (15953645805738).

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

12300100112982 is a wasteful number, since it uses less digits than its factorization.

12300100112982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997570 (or 997559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 12300100112982 in words is "twelve trillion, three hundred billion, one hundred million, one hundred twelve thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 739 759 1478 1518 2217 2783 4434 5566 8129 8349 16258 16698 16997 24387 33994 48774 50991 89419 101982 178838 186967 268257 373934 536514 560901 996781 1121802 1993562 2056637 2990343 4113274 5980686 6169911 10964591 12339822 21929182 22925963 32893773 45851926 65787546 68777889 120610501 137555778 241221002 252185593 361831503 504371186 723663006 736621159 756556779 1473242318 1513113558 2209863477 2774041523 4419726954 5548083046 8102832749 8322124569 16205665498 16644249138 16942286657 24308498247 33884573314 48616996494 50826859971 89131160239 101653719942 178262320478 186365153227 267393480717 372730306454 534786961434 559095459681 1118190919362 2050016685497 4100033370994 6150050056491 12300100112982