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1014204501200 = 245211593906797
BaseRepresentation
bin11101100001000110100…
…11001000110011010000
310120221211122200211222002
432300203103020303100
5113104042323014300
62053530310133132
7133162635006662
oct16604323106320
93527748624862
101014204501200
11361138000990
121446870511a8
1374840079737
1437132b54532
151b5ad7e25d5
hexec234c8cd0

1014204501200 has 120 divisors (see below), whose sum is σ = 2703191672160. Its totient is φ = 362550668800.

The previous prime is 1014204501199. The next prime is 1014204501307. The reversal of 1014204501200 is 21054024101.

It is a happy number.

It is a super-2 number, since 2×10142045012002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693799 + ... + 2212998.

It is an arithmetic number, because the mean of its divisors is an integer number (22526597268).

Almost surely, 21014204501200 is an apocalyptic number.

1014204501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014204501200 is an abundant number, since it is smaller than the sum of its proper divisors (1688987170960).

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

1014204501200 is a wasteful number, since it uses less digits than its factorization.

1014204501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906885 (or 3906874 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1014204501200 its reverse (21054024101), we get a palindrome (1035258525301).

The spelling of 1014204501200 in words is "one trillion, fourteen billion, two hundred four million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 59 80 88 100 110 118 176 200 220 236 275 295 400 440 472 550 590 649 880 944 1100 1180 1298 1475 2200 2360 2596 2950 3245 4400 4720 5192 5900 6490 10384 11800 12980 16225 23600 25960 32450 51920 64900 129800 259600 3906797 7813594 15627188 19533985 31254376 39067970 42974767 62508752 78135940 85949534 97669925 156271880 171899068 195339850 214873835 230501023 312543760 343798136 390679700 429747670 461002046 687596272 781359400 859495340 922004092 1074369175 1152505115 1562718800 1718990680 1844008184 2148738350 2305010230 2535511253 3437981360 3688016368 4297476700 4610020460 5071022506 5762525575 8594953400 9220040920 10142045012 11525051150 12677556265 17189906800 18440081840 20284090024 23050102300 25355112530 40568180048 46100204600 50710225060 63387781325 92200409200 101420450120 126775562650 202840900240 253551125300 507102250600 1014204501200