Search a number
-
+
102141012332003 = 1771193438465653
BaseRepresentation
bin10111001110010110001110…
…110000011100110111100011
3111101122120210202202001102212
4113032112032300130313203
5101341434243124111003
61001122533331232335
730341305334532011
oct2716261660346743
9441576722661385
10102141012332003
112a5aa83a718117
12b5577424486ab
1344cbb18c06608
141b3191952b8b1
15bc1dc72d8dd8
hex5ce58ec1cde3

102141012332003 has 16 divisors (see below), whose sum is σ = 110240788591296. Its totient is φ = 94287653806080.

The previous prime is 102141012331961. The next prime is 102141012332033. The reversal of 102141012332003 is 300233210141201.

It is a cyclic number.

It is not a de Polignac number, because 102141012332003 - 220 = 102141011283427 is a prime.

It is a super-3 number, since 3×1021410123320033 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102141012332003.

It is not an unprimeable number, because it can be changed into a prime (102141012332033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218999876 + ... + 219465777.

It is an arithmetic number, because the mean of its divisors is an integer number (6890049286956).

Almost surely, 2102141012332003 is an apocalyptic number.

102141012332003 is a deficient number, since it is larger than the sum of its proper divisors (8099776259293).

102141012332003 is a wasteful number, since it uses less digits than its factorization.

102141012332003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438465934.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102141012332003 its reverse (300233210141201), we get a palindrome (402374222473204).

The spelling of 102141012332003 in words is "one hundred two trillion, one hundred forty-one billion, twelve million, three hundred thirty-two thousand, three".

Divisors: 1 17 71 193 1207 3281 13703 232951 438465653 7453916101 31131061363 84623871029 529228043171 1438605807493 6008294843059 102141012332003