Search a number
-
+
1314121011030 = 232516787433201
BaseRepresentation
bin10011000111110111101…
…101110100111101010110
311122121222100112010201200
4103013313231310331112
5133012304434323110
62443410541533330
7163641100201632
oct23076755647526
94577870463650
101314121011030
11467352062843
12192828574246
1396bc87c5479
1447864b61dc2
15242b39ad6c0
hex131f7b74f56

1314121011030 has 48 divisors (see below), whose sum is σ = 3437174037024. Its totient is φ = 348333868800.

The previous prime is 1314121010999. The next prime is 1314121011043. The reversal of 1314121011030 is 301101214131.

It is a happy number.

1314121011030 is a `hidden beast` number, since 1 + 314 + 1 + 210 + 110 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1314121010994 and 1314121011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43701571 + ... + 43731630.

It is an arithmetic number, because the mean of its divisors is an integer number (71607792438).

Almost surely, 21314121011030 is an apocalyptic number.

1314121011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314121011030 is an abundant number, since it is smaller than the sum of its proper divisors (2123053025994).

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

1314121011030 is a wasteful number, since it uses less digits than its factorization.

1314121011030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87433381 (or 87433378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1314121011030 its reverse (301101214131), we get a palindrome (1615222225161).

The spelling of 1314121011030 in words is "one trillion, three hundred fourteen billion, one hundred twenty-one million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 87433201 174866402 262299603 437166005 524599206 786898809 874332010 1311498015 1573797618 2622996030 3934494045 7868988090 14601344567 29202689134 43804033701 73006722835 87608067402 131412101103 146013445670 219020168505 262824202206 438040337010 657060505515 1314121011030