Search a number
-
+
102003230052 = 223271316712601
BaseRepresentation
bin101111011111111011…
…1011100010101100100
3100202021210001222021100
41132333313130111210
53132400311330202
6114505403120100
710240510102233
oct1367767342544
9322253058240
10102003230052
113a294189529
1217928813030
139807848079
144d1911ab1a
1529c003941c
hex17bfddc564

102003230052 has 72 divisors (see below), whose sum is σ = 261576387072. Its totient is φ = 33508944000.

The previous prime is 102003230009. The next prime is 102003230053. The reversal of 102003230052 is 250032300201.

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

It is not an unprimeable number, because it can be changed into a prime (102003230053) 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, 8088552 + ... + 8101152.

It is an arithmetic number, because the mean of its divisors is an integer number (3633005376).

Almost surely, 2102003230052 is an apocalyptic number.

102003230052 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 102003230052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130788193536).

102003230052 is an abundant number, since it is smaller than the sum of its proper divisors (159573157020).

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

102003230052 is a wasteful number, since it uses less digits than its factorization.

102003230052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15849 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 102003230052 its reverse (250032300201), we get a palindrome (352035530253).

The spelling of 102003230052 in words is "one hundred two billion, three million, two hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 3167 6334 9501 12601 12668 19002 25202 28503 37803 38004 50404 57006 75606 113409 114012 151212 224857 226818 449714 453636 674571 894671 899428 1349142 1789342 2023713 2684013 2698284 3578684 4047426 5368026 8052039 8094852 10736052 16104078 32208156 39907367 79814734 119722101 159629468 239444202 359166303 478888404 718332606 1436665212 2833423057 5666846114 8500269171 11333692228 17000538342 25500807513 34001076684 51001615026 102003230052