Search a number
-
+
102002314130 = 25313379291051
BaseRepresentation
bin101111011111111001…
…1111100101110010010
3100202021201100102212022
41132333303330232102
53132400043023010
6114505331331442
710240466236013
oct1367763745622
9322251312768
10102002314130
113a293713372
1217928450b82
1398075b71c2
144d18d5d00a
1529bee07d55
hex17bfcfcb92

102002314130 has 64 divisors (see below), whose sum is σ = 190474951680. Its totient is φ = 39287808000.

The previous prime is 102002314097. The next prime is 102002314147. The reversal of 102002314130 is 31413200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002314099 and 102002314108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97052105 + ... + 97053155.

It is an arithmetic number, because the mean of its divisors is an integer number (2976171120).

Almost surely, 2102002314130 is an apocalyptic number.

102002314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102002314130 is a deficient number, since it is larger than the sum of its proper divisors (88472637550).

102002314130 is a wasteful number, since it uses less digits than its factorization.

102002314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102002314130 its reverse (31413200201), we get a palindrome (133415514331).

The spelling of 102002314130 in words is "one hundred two billion, two million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 31 62 155 310 337 674 929 1051 1685 1858 2102 3370 4645 5255 9290 10447 10510 20894 28799 32581 52235 57598 65162 104470 143995 162905 287990 313073 325810 354187 626146 708374 976379 1565365 1770935 1952758 3130730 3541870 4881895 9705263 9763790 10979797 19410526 21959594 30267749 48526315 54898985 60535498 97052630 109797970 151338745 302677490 329039723 658079446 1645198615 3290397230 10200231413 20400462826 51001157065 102002314130