Search a number
-
+
1300134133122 = 2311151853152939
BaseRepresentation
bin10010111010110110000…
…010000111110110000010
311121021212120202010021120
4102322312002013312002
5132300133314224442
62433135014333110
7162634351535136
oct22726602076602
94537776663246
101300134133122
11461424907410
1218bb8435a196
13957a9b2c256
1446cd93033c6
1523c45abd4ec
hex12eb6087d82

1300134133122 has 64 divisors (see below), whose sum is σ = 2858808314880. Its totient is φ = 390909528000.

The previous prime is 1300134133099. The next prime is 1300134133139. The reversal of 1300134133122 is 2213314310031.

It is a junction number, because it is equal to n+sod(n) for n = 1300134133092 and 1300134133101.

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, 8424529 + ... + 8577467.

It is an arithmetic number, because the mean of its divisors is an integer number (44668879920).

Almost surely, 21300134133122 is an apocalyptic number.

1300134133122 is an abundant number, since it is smaller than the sum of its proper divisors (1558674181758).

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

1300134133122 is a wasteful number, since it uses less digits than its factorization.

1300134133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153959.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1300134133122 its reverse (2213314310031), we get a palindrome (3513448443153).

The spelling of 1300134133122 in words is "one trillion, three hundred billion, one hundred thirty-four million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 151 302 453 853 906 1661 1706 2559 3322 4983 5118 9383 9966 18766 28149 56298 128803 152939 257606 305878 386409 458817 772818 917634 1416833 1682329 2833666 3364658 4250499 5046987 8500998 10093974 23093789 46187578 69281367 130456967 138562734 254031679 260913934 391370901 508063358 762095037 782741802 1435026637 1524190074 2870053274 4305079911 8610159822 19699002017 39398004034 59097006051 118194012102 216689022187 433378044374 650067066561 1300134133122