Search a number
-
+
102003201432 = 2332111031250407
BaseRepresentation
bin101111011111111011…
…1010101010110011000
3100202021210000112000100
41132333313111112120
53132400304421212
6114505402335400
710240506622626
oct1367767252630
9322253015010
10102003201432
113a294169a80
12179287ba560
139807838032
144d19110516
1529c0030bdc
hex17bfdd5598

102003201432 has 96 divisors (see below), whose sum is σ = 304299290880. Its totient is φ = 30609938880.

The previous prime is 102003201427. The next prime is 102003201437. The reversal of 102003201432 is 234102300201.

102003201432 is a `hidden beast` number, since 1 + 0 + 200 + 32 + 0 + 1 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (102003201427) and next prime (102003201437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003201437) 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, 543628 + ... + 706779.

It is an arithmetic number, because the mean of its divisors is an integer number (3169784280).

Almost surely, 2102003201432 is an apocalyptic number.

102003201432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102003201432 is an abundant number, since it is smaller than the sum of its proper divisors (202296089448).

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

102003201432 is a wasteful number, since it uses less digits than its factorization.

102003201432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250533 (or 1250526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102003201432 its reverse (234102300201), we get a palindrome (336105501633).

The spelling of 102003201432 in words is "one hundred two billion, three million, two hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4532 6798 7416 9064 10197 13596 20394 27192 40788 81576 1250407 2500814 3751221 5001628 7502442 10003256 11253663 13754477 15004884 22507326 27508954 30009768 41263431 45014652 55017908 82526862 90029304 110035816 123790293 128791921 165053724 247580586 257583842 330107448 386375763 495161172 515167684 772751526 990322344 1030335368 1159127289 1416711131 1545503052 2318254578 2833422262 3091006104 4250133393 4636509156 5666844524 8500266786 9273018312 11333689048 12750400179 17000533572 25500800358 34001067144 51001600716 102003201432