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1013330232 = 2332311074243
BaseRepresentation
bin111100011001100…
…011000100111000
32121121202111202100
4330121203010320
54033403031412
6244315103400
734053110355
oct7431430470
92547674670
101013330232
1147aaa9002
12243441b60
13131c267b5
149881b62c
155de65edc
hex3c663138

1013330232 has 96 divisors (see below), whose sum is σ = 2860116480. Its totient is φ = 323749440.

The previous prime is 1013330221. The next prime is 1013330257. The reversal of 1013330232 is 2320333101.

1013330232 is a `hidden beast` number, since 101 + 3 + 330 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236703 + ... + 240945.

It is an arithmetic number, because the mean of its divisors is an integer number (29792880).

Almost surely, 21013330232 is an apocalyptic number.

1013330232 is a gapful number since it is divisible by the number (12) 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 1013330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430058240).

1013330232 is an abundant number, since it is smaller than the sum of its proper divisors (1846786248).

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

1013330232 is a wasteful number, since it uses less digits than its factorization.

1013330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1013330232 is about 31832.8483174221. The cubic root of 1013330232 is about 1004.4238116986.

Adding to 1013330232 its reverse (2320333101), we get a palindrome (3333663333).

It can be divided in two parts, 101 and 3330232, that added together give a palindrome (3330333).

The spelling of 1013330232 in words is "one billion, thirteen million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 107 124 186 214 248 279 321 372 428 558 642 744 856 963 1116 1284 1926 2232 2568 3317 3852 4243 6634 7704 8486 9951 12729 13268 16972 19902 25458 26536 29853 33944 38187 39804 50916 59706 76374 79608 101832 119412 131533 152748 238824 263066 305496 394599 454001 526132 789198 908002 1052264 1183797 1362003 1578396 1816004 2367594 2724006 3156792 3632008 4086009 4735188 5448012 8172018 9470376 10896024 14074031 16344036 28148062 32688072 42222093 56296124 84444186 112592248 126666279 168888372 253332558 337776744 506665116 1013330232