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1300212442998 = 232719245762549
BaseRepresentation
bin10010111010111010101…
…100110110011101110110
311121022002001002200020100
4102322322230312131312
5132300313341133443
62433150453014530
7162636322261620
oct22727254663566
94538061080210
101300212442998
11461465033817
1218bba6624446
13957c011a261
1446d05889c10
1523c4c8db3d3
hex12ebab36776

1300212442998 has 144 divisors (see below), whose sum is σ = 3405433168800. Its totient is φ = 351161485056.

The previous prime is 1300212442993. The next prime is 1300212443029. The reversal of 1300212442998 is 8992442120031.

1300212442998 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 212 + 4 + 429 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300212442993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20755828 + ... + 20818376.

It is an arithmetic number, because the mean of its divisors is an integer number (23648841450).

Almost surely, 21300212442998 is an apocalyptic number.

1300212442998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300212442998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702716584400).

1300212442998 is an abundant number, since it is smaller than the sum of its proper divisors (2105220725802).

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

1300212442998 is a wasteful number, since it uses less digits than its factorization.

1300212442998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63059 (or 63037 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1300212442998 in words is "one trillion, three hundred billion, two hundred twelve million, four hundred forty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 361 399 457 722 798 914 1083 1197 1371 2166 2394 2527 2742 3199 3249 4113 5054 6398 6498 7581 8226 8683 9597 15162 17366 19194 22743 26049 28791 45486 52098 57582 60781 62549 78147 121562 125098 156294 164977 182343 187647 329954 364686 375294 437843 494931 547029 562941 875686 989862 1094058 1125882 1154839 1188431 1313529 1484793 2309678 2376862 2627058 2969586 3464517 3565293 3940587 6929034 7130586 7881174 8319017 10393551 10695879 16638034 20787102 21391758 22580189 24957051 28584893 45160378 49914102 57169786 67740567 74871153 85754679 135481134 149742306 158061323 171509358 200094251 203221701 257264037 316122646 400188502 406443402 474183969 514528074 543112967 600282753 948367938 1086225934 1200565506 1422551907 1629338901 1800848259 2845103814 3258677802 3601696518 3801790769 4888016703 7603581538 9776033406 10319146373 11405372307 20638292746 22810744614 30957439119 34216116921 61914878238 68432233842 72234024611 92872317357 144468049222 185744634714 216702073833 433404147666 650106221499 1300212442998