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1023043424200 = 235273229226307
BaseRepresentation
bin11101110001100100010…
…00111100111111001000
310121210122122200122212121
432320302020330333020
5113230143104033300
62101551335021024
7133624653424540
oct16706210747710
93553578618777
101023043424200
11364963384626
1214633320a774
137561b34cca5
14377309da320
151b9297a281a
hexee3223cfc8

1023043424200 has 96 divisors (see below), whose sum is σ = 2719226404800. Its totient is φ = 350647568640.

The previous prime is 1023043424159. The next prime is 1023043424203. The reversal of 1023043424200 is 24243403201.

It is a happy number.

It is a super-2 number, since 2×10230434242002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1023043424203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407447 + ... + 4633753.

It is an arithmetic number, because the mean of its divisors is an integer number (28325275050).

Almost surely, 21023043424200 is an apocalyptic number.

1023043424200 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 1023043424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359613202400).

1023043424200 is an abundant number, since it is smaller than the sum of its proper divisors (1696182980600).

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

1023043424200 is a wasteful number, since it uses less digits than its factorization.

1023043424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229559 (or 229550 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1023043424200 its reverse (24243403201), we get a palindrome (1047286827401).

The spelling of 1023043424200 in words is "one trillion, twenty-three billion, forty-three million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3229 6458 12916 16145 22603 25832 32290 45206 64580 80725 90412 113015 129160 161450 180824 226030 226307 322900 452060 452614 565075 645800 904120 905228 1130150 1131535 1584149 1810456 2260300 2263070 3168298 4520600 4526140 5657675 6336596 7920745 9052280 11315350 12673192 15841490 22630700 31682980 39603725 45261400 63365960 79207450 158414900 316829800 730745303 1461490606 2922981212 3653726515 5115217121 5845962424 7307453030 10230434242 14614906060 18268632575 20460868484 25576085605 29229812120 36537265150 40921736968 51152171210 73074530300 102304342420 127880428025 146149060600 204608684840 255760856050 511521712100 1023043424200