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1023230120 = 235117929437
BaseRepresentation
bin111100111111010…
…100000010101000
32122022101110211212
4330333110002220
54043421330440
6245311212252
734233212123
oct7477240250
92568343755
101023230120
1148564aa30
12246817088
13133cb1913
1499c773ba
155ec6e465
hex3cfd40a8

1023230120 has 64 divisors (see below), whose sum is σ = 2543443200. Its totient is φ = 367361280.

The previous prime is 1023230101. The next prime is 1023230183. The reversal of 1023230120 is 210323201.

It is a happy number.

1023230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1023230095 and 1023230104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20042 + ... + 49478.

It is an arithmetic number, because the mean of its divisors is an integer number (39741300).

Almost surely, 21023230120 is an apocalyptic number.

1023230120 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 1023230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271721600).

1023230120 is an abundant number, since it is smaller than the sum of its proper divisors (1520213080).

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

1023230120 is a wasteful number, since it uses less digits than its factorization.

1023230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29538 (or 29534 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1023230120 is about 31987.9683631205. The cubic root of 1023230120 is about 1007.6841755383.

Adding to 1023230120 its reverse (210323201), we get a palindrome (1233553321).

The spelling of 1023230120 in words is "one billion, twenty-three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 6952 8690 17380 29437 34760 58874 117748 147185 235496 294370 323807 588740 647614 1177480 1295228 1619035 2325523 2590456 3238070 4651046 6476140 9302092 11627615 12952280 18604184 23255230 25580753 46510460 51161506 93020920 102323012 127903765 204646024 255807530 511615060 1023230120