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1023530103200 = 255211116310239
BaseRepresentation
bin11101110010011110010…
…01011111000110100000
310121211220120110111221202
432321033021133012200
5113232142201300300
62102111522140332
7133643013221003
oct16711711370640
93554816414852
101023530103200
11365093072780
1214644a1b16a8
137569811ca27
14377794c553a
151b957388ad5
hexee4f25f1a0

1023530103200 has 72 divisors (see below), whose sum is σ = 2725846784640. Its totient is φ = 372192761600.

The previous prime is 1023530103191. The next prime is 1023530103311. The reversal of 1023530103200 is 23010353201.

It is a super-2 number, since 2×10235301032002 (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58146320 + ... + 58163919.

It is an arithmetic number, because the mean of its divisors is an integer number (37858983120).

Almost surely, 21023530103200 is an apocalyptic number.

1023530103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023530103200 is an abundant number, since it is smaller than the sum of its proper divisors (1702316681440).

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

1023530103200 is a wasteful number, since it uses less digits than its factorization.

1023530103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116310270 (or 116310257 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 1023530103200 its reverse (23010353201), we get a palindrome (1046540456401).

The spelling of 1023530103200 in words is "one trillion, twenty-three billion, five hundred thirty million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 116310239 232620478 465240956 581551195 930481912 1163102390 1279412629 1860963824 2326204780 2558825258 2907755975 3721927648 4652409560 5117650516 5815511950 6397063145 9304819120 10235301032 11631023900 12794126290 18609638240 20470602064 23262047800 25588252580 31985315725 40941204128 46524095600 51176505160 63970631450 93048191200 102353010320 127941262900 204706020640 255882525800 511765051600 1023530103200