Search a number
-
+
1012113311320 = 235411511408433
BaseRepresentation
bin11101011101001101010…
…01111000011001011000
310120202102220202101202001
432232212221320121120
5113040302001430240
62052543004450344
7133060053125326
oct16564651703130
93522386671661
101012113311320
1136026463aa91
121441a28499b4
1374598a54987
1436db511cd16
151b4d9e1a89a
hexeba6a78658

1012113311320 has 64 divisors (see below), whose sum is σ = 2334347346240. Its totient is φ = 394708684800.

The previous prime is 1012113311299. The next prime is 1012113311359. The reversal of 1012113311320 is 231133112101.

It is a super-2 number, since 2×10121133113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2273824 + ... + 2682256.

It is an arithmetic number, because the mean of its divisors is an integer number (36474177285).

Almost surely, 21012113311320 is an apocalyptic number.

1012113311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012113311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167173673120).

1012113311320 is an abundant number, since it is smaller than the sum of its proper divisors (1322234034920).

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

1012113311320 is a wasteful number, since it uses less digits than its factorization.

1012113311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409996 (or 409992 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1012113311320 its reverse (231133112101), we get a palindrome (1243246423421).

The spelling of 1012113311320 in words is "one trillion, twelve billion, one hundred thirteen million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1511 1640 3022 6044 7555 12088 15110 30220 60440 61951 123902 247804 309755 408433 495608 619510 816866 1239020 1633732 2042165 2478040 3267464 4084330 8168660 16337320 16745753 33491506 66983012 83728765 133966024 167457530 334915060 617142263 669830120 1234284526 2468569052 3085711315 4937138104 6171422630 12342845260 24685690520 25302832783 50605665566 101211331132 126514163915 202422662264 253028327830 506056655660 1012113311320