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1031131132330 = 2513171493131377
BaseRepresentation
bin11110000000101000011…
…01000111000110101010
310122120112022010210201011
433000110031013012222
5113343224032213310
62105410050414134
7134332251003535
oct17002415070652
93576468123634
101031131132330
11368333708432
12147a0b89134a
1376309ac1ac0
1437c9abb5a1c
151bc4e82578a
hexf0143471aa

1031131132330 has 64 divisors (see below), whose sum is σ = 2130589591200. Its totient is φ = 355924721664.

The previous prime is 1031131132309. The next prime is 1031131132331. The reversal of 1031131132330 is 332311311301.

It can be written as a sum of positive squares in 16 ways, for example, as 49725878049 + 981405254281 = 222993^2 + 990659^2 .

It is not an unprimeable number, because it can be changed into a prime (1031131132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236399 + ... + 1894978.

Almost surely, 21031131132330 is an apocalyptic number.

1031131132330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1031131132330 is an abundant number, since it is smaller than the sum of its proper divisors (1099458458870).

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

1031131132330 is a wasteful number, since it uses less digits than its factorization.

1031131132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131563.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1031131132330 its reverse (332311311301), we get a palindrome (1363442443631).

The spelling of 1031131132330 in words is "one trillion, thirty-one billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 149 170 221 298 442 745 1105 1490 1937 2210 2533 3874 5066 9685 12665 19370 25330 32929 65858 164645 329290 3131377 6262754 15656885 31313770 40707901 53233409 81415802 106466818 203539505 266167045 407079010 466575173 532334090 692034317 933150346 1384068634 2332875865 3460171585 4665751730 6065477249 6920343170 7931777941 12130954498 15863555882 30327386245 39658889705 60654772490 79317779410 103113113233 206226226466 515565566165 1031131132330