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1200310013100 = 22352111492441143
BaseRepresentation
bin10001011101111000000…
…011010100110010101100
311020202012200001102000010
4101131320003110302230
5124131213330404400
62315225333133220
7152501541525222
oct21357003246254
94222180042003
101200310013100
1142305978a570
1217476548a210
138925b8b0303
1442149786b12
1521352026450
hex117780d4cac

1200310013100 has 144 divisors (see below), whose sum is σ = 3814043385600. Its totient is φ = 289031212800.

The previous prime is 1200310013059. The next prime is 1200310013131. The reversal of 1200310013100 is 13100130021.

It is a super-2 number, since 2×12003100131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728872 + ... + 1712271.

It is an arithmetic number, because the mean of its divisors is an integer number (26486412400).

Almost surely, 21200310013100 is an apocalyptic number.

1200310013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200310013100 is an abundant number, since it is smaller than the sum of its proper divisors (2613733372500).

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

1200310013100 is a wasteful number, since it uses less digits than its factorization.

1200310013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441320 (or 2441313 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1200310013100 its reverse (13100130021), we get a palindrome (1213410143121).

The spelling of 1200310013100 in words is "one trillion, two hundred billion, three hundred ten million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 149 150 165 220 275 298 300 330 447 550 596 660 745 825 894 1100 1490 1639 1650 1788 2235 2980 3278 3300 3725 4470 4917 6556 7450 8195 8940 9834 11175 14900 16390 19668 22350 24585 32780 40975 44700 49170 81950 98340 122925 163900 245850 491700 2441143 4882286 7323429 9764572 12205715 14646858 24411430 26852573 29293716 36617145 48822860 53705146 61028575 73234290 80557719 107410292 122057150 134262865 146468580 161115438 183085725 244114300 268525730 322230876 363730307 366171450 402788595 537051460 671314325 727460614 732342900 805577190 1091190921 1342628650 1454921228 1611154380 1818651535 2013942975 2182381842 2685257300 3637303070 4001033377 4027885950 4364763684 5455954605 7274606140 8002066754 8055771900 9093257675 10911909210 12003100131 16004133508 18186515350 20005166885 21823818420 24006200262 27279773025 36373030700 40010333770 48012400524 54559546050 60015500655 80020667540 100025834425 109119092100 120031001310 200051668850 240062002620 300077503275 400103337700 600155006550 1200310013100