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1023200112200 = 235272331776401
BaseRepresentation
bin11101110001110110111…
…10101010111001001000
310121211001120112020101212
432320323132222321020
5113231003212042300
62102015053232252
7133631565311060
oct16707336527110
93554046466355
101023200112200
11364a33874642
12146377792688
1375644951096
14377477463a0
151b938403935
hexee3b7aae48

1023200112200 has 96 divisors (see below), whose sum is σ = 2836997170560. Its totient is φ = 335558784000.

The previous prime is 1023200112199. The next prime is 1023200112211. The reversal of 1023200112200 is 22110023201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 15856001 + ... + 15920400.

It is an arithmetic number, because the mean of its divisors is an integer number (29552053860).

Almost surely, 21023200112200 is an apocalyptic number.

1023200112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023200112200 is an abundant number, since it is smaller than the sum of its proper divisors (1813797058360).

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

1023200112200 is a wasteful number, since it uses less digits than its factorization.

1023200112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31776447 (or 31776438 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1023200112200 its reverse (22110023201), we get a palindrome (1045310135401).

It can be divided in two parts, 10232001 and 12200, that added together give a palindrome (10244201).

The spelling of 1023200112200 in words is "one trillion, twenty-three billion, two hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 32200 31776401 63552802 127105604 158882005 222434807 254211208 317764010 444869614 635528020 730857223 794410025 889739228 1112174035 1271056040 1461714446 1588820050 1779478456 2224348070 2923428892 3177640100 3654286115 4448696140 5116000561 5560870175 5846857784 6355280200 7308572230 8897392280 10232001122 11121740350 14617144460 18271430575 20464002244 22243480700 25580002805 29234288920 36542861150 40928004488 44486961400 51160005610 73085722300 102320011220 127900014025 146171444600 204640022440 255800028050 511600056100 1023200112200