Search a number
-
+
1002131111232 = 263217102341821
BaseRepresentation
bin11101001010100111010…
…10110011110101000000
310112210200020111002111200
432211103222303311000
5112404331031024412
62044212255341200
7132254512620216
oct16452352636500
93483606432450
101002131111232
11357001983349
12142277821800
137366795a3c4
14367094b0cb6
151b1038c69dc
hexe953ab3d40

1002131111232 has 84 divisors (see below), whose sum is σ = 3041394266196. Its totient is φ = 314394071040.

The previous prime is 1002131111221. The next prime is 1002131111237. The reversal of 1002131111232 is 2321111312001.

1002131111232 is a `hidden beast` number, since 100 + 21 + 311 + 1 + 1 + 232 = 666.

1002131111232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 673279327296 + 328851783936 = 820536^2 + 573456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131111237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51161119 + ... + 51180702.

Almost surely, 21002131111232 is an apocalyptic number.

1002131111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002131111232 is an abundant number, since it is smaller than the sum of its proper divisors (2039263154964).

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

1002131111232 is a wasteful number, since it uses less digits than its factorization.

1002131111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102341856 (or 102341843 counting only the distinct ones).

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

Adding to 1002131111232 its reverse (2321111312001), we get a palindrome (3323242423233).

The spelling of 1002131111232 in words is "one trillion, two billion, one hundred thirty-one million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 102341821 204683642 307025463 409367284 614050926 818734568 921076389 1228101852 1637469136 1739810957 1842152778 2456203704 3274938272 3479621914 3684305556 4912407408 5219432871 6549876544 6959243828 7368611112 9824814816 10438865742 13918487656 14737222224 15658298613 19649629632 20877731484 27836975312 29474444448 31316597226 41755462968 55673950624 58948888896 62633194452 83510925936 111347901248 125266388904 167021851872 250532777808 334043703744 501065555616 1002131111232