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1300023102300 = 22352132879115783
BaseRepresentation
bin10010111010101111011…
…010100100101101011100
311121021120211211011121220
4102322233122210231130
5132244421403233200
62433120010453340
7162631533021126
oct22725732445534
94537524734556
101300023102300
114613781712aa
1218bb53134250
139578cb25940
1446cc8680216
1523c3ae8a4a0
hex12eaf6a4b5c

1300023102300 has 144 divisors (see below), whose sum is σ = 4052180643840. Its totient is φ = 319891772160.

The previous prime is 1300023102289. The next prime is 1300023102319. The reversal of 1300023102300 is 32013200031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300023102300.

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, 11170209 + ... + 11285991.

It is an arithmetic number, because the mean of its divisors is an integer number (28140143360).

Almost surely, 21300023102300 is an apocalyptic number.

1300023102300 is a gapful number since it is divisible by the number (10) 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 1300023102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026090321920).

1300023102300 is an abundant number, since it is smaller than the sum of its proper divisors (2752157541540).

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

1300023102300 is a wasteful number, since it uses less digits than its factorization.

1300023102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118692 (or 118685 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1300023102300 its reverse (32013200031), we get a palindrome (1332036302331).

The spelling of 1300023102300 in words is "one trillion, three hundred billion, twenty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2879 3900 5758 8637 11516 14395 17274 28790 34548 37427 43185 57580 71975 74854 86370 112281 115783 143950 149708 172740 187135 215925 224562 231566 287900 347349 374270 431850 449124 463132 561405 578915 694698 748540 863700 935675 1122810 1157830 1389396 1505179 1736745 1871350 2245620 2315660 2807025 2894575 3010358 3473490 3742700 4515537 5614050 5789150 6020716 6946980 7525895 8683725 9031074 11228100 11578300 15051790 17367450 18062148 22577685 30103580 34734900 37629475 45155370 75258950 90310740 112888425 150517900 225776850 333339257 451553700 666678514 1000017771 1333357028 1666696285 2000035542 3333392570 4000071084 4333410341 5000088855 6666785140 8333481425 8666820682 10000177710 13000231023 16666962850 17333641364 20000355420 21667051705 25000444275 26000462046 33333925700 43334103410 50000888550 52000924092 65001155115 86668206820 100001777100 108335258525 130002310230 216670517050 260004620460 325005775575 433341034100 650011551150 1300023102300