Search a number
-
+
1311313000030 = 2511101343334381
BaseRepresentation
bin10011000101010000010…
…110000111011001011110
311122100201122202101210021
4103011100112013121132
5132441032112000110
62442224152302354
7163511362406635
oct23052026073136
94570648671707
101311313000030
114661410035a0
121921840a19ba
139686bb21ab7
1447679c5451c
152419c1e02da
hex1315058765e

1311313000030 has 64 divisors (see below), whose sum is σ = 2601269505216. Its totient is φ = 471968640000.

The previous prime is 1311313000027. The next prime is 1311313000069. The reversal of 1311313000030 is 300003131131.

It is a junction number, because it is equal to n+sod(n) for n = 1311312999968 and 1311313000013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38123440 + ... + 38157820.

It is an arithmetic number, because the mean of its divisors is an integer number (40644836019).

Almost surely, 21311313000030 is an apocalyptic number.

1311313000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311313000030 is a deficient number, since it is larger than the sum of its proper divisors (1289956505186).

1311313000030 is a wasteful number, since it uses less digits than its factorization.

1311313000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37933.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1311313000030 its reverse (300003131131), we get a palindrome (1611316131161).

The spelling of 1311313000030 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, thirty", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 55 101 110 202 505 1010 1111 2222 3433 5555 6866 11110 17165 34330 34381 37763 68762 75526 171905 188815 343810 346733 377630 378191 693466 756382 1733665 1890955 3467330 3472481 3781910 3814063 6944962 7628126 17362405 19070315 34724810 38140630 38197291 76394582 118029973 190986455 236059946 381972910 590149865 1180299730 1298329703 2596659406 6491648515 11921027273 12983297030 23842054546 59605136365 119210272730 131131300003 262262600006 655656500015 1311313000030