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13300303230132 = 223231491301248593
BaseRepresentation
bin1100000110001011011111…
…0110010111010010110100
31202002111102000000020120020
43001202313312113102310
53220403010111331012
644142024105005140
72541625625055642
oct301426766272264
952074360006506
1013300303230132
114268699487306
1215a98307837b0
137562a0576129
1433da4953c192
15180e88791a8c
hexc18b7d974b4

13300303230132 has 96 divisors (see below), whose sum is σ = 32625874310400. Its totient is φ = 4208960870400.

The previous prime is 13300303230061. The next prime is 13300303230157. The reversal of 13300303230132 is 23103230300331.

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 31 ways as a sum of consecutive naturals, for example, 53378028 + ... + 53626620.

It is an arithmetic number, because the mean of its divisors is an integer number (339852857400).

Almost surely, 213300303230132 is an apocalyptic number.

13300303230132 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 13300303230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312937155200).

13300303230132 is an abundant number, since it is smaller than the sum of its proper divisors (19325571080268).

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

13300303230132 is a wasteful number, since it uses less digits than its factorization.

13300303230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250073 (or 250071 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13300303230132 its reverse (23103230300331), we get a palindrome (36403533530463).

The spelling of 13300303230132 in words is "thirteen trillion, three hundred billion, three hundred three million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 149 276 298 447 596 894 1301 1788 2602 3427 3903 5204 6854 7806 10281 13708 15612 20562 29923 41124 59846 89769 119692 179538 193849 248593 359076 387698 497186 581547 745779 775396 994372 1163094 1491558 2326188 2983116 4458527 5717639 8917054 11435278 13375581 17152917 17834108 22870556 26751162 34305834 37040357 53502324 68611668 74080714 111121071 148161428 222242142 323419493 444484284 646838986 851928211 970258479 1293677972 1703856422 1940516958 2555784633 3407712844 3881033916 5111569266 7438648339 10223138532 14877296678 22315945017 29754593356 44631890034 48189504457 89263780068 96379008914 144568513371 192758017828 289137026742 578274053484 1108358602511 2216717205022 3325075807533 4433434410044 6650151615066 13300303230132