Search a number
-
+
1031131002222 = 23289799380527
BaseRepresentation
bin11110000000101000011…
…00100111010101101110
310122120112021220012020100
433000110030213111232
5113343224014032342
62105410043531530
7134332246622316
oct17002414472556
93576467805210
101031131002222
11368333629702
12147a0b829ba6
1376309a77809
1437c9ab80446
151bc4e7ebe4c
hexf01432756e

1031131002222 has 48 divisors (see below), whose sum is σ = 2259530320320. Its totient is φ = 339801682176.

The previous prime is 1031131002191. The next prime is 1031131002257. The reversal of 1031131002222 is 2222001311301.

1031131002222 is a `hidden beast` number, since 1 + 0 + 311 + 310 + 0 + 22 + 22 = 666.

It is a super-2 number, since 2×10311310022222 (a number of 25 digits) contains 22 as substring.

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 = 1031131002195 and 1031131002204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12764523 + ... + 12845049.

It is an arithmetic number, because the mean of its divisors is an integer number (47073548340).

Almost surely, 21031131002222 is an apocalyptic number.

1031131002222 is an abundant number, since it is smaller than the sum of its proper divisors (1228399318098).

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

1031131002222 is a wasteful number, since it uses less digits than its factorization.

1031131002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88617 (or 88614 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031131002222 its reverse (2222001311301), we get a palindrome (3253132313523).

The spelling of 1031131002222 in words is "one trillion, thirty-one billion, one hundred thirty-one million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 7993 15986 23979 47958 71937 80527 143874 161054 241581 483162 711377 724743 1422754 1449486 2134131 4268262 6402393 7166903 12804786 14333806 21500709 43001418 64502127 129004254 643652311 1287304622 1930956933 3861913866 5792870799 11585741598 57285055679 114570111358 171855167037 343710334074 515565501111 1031131002222