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1031223231220 = 2257135231083377
BaseRepresentation
bin11110000000110011011…
…00011100001011110100
310122120202201102220122011
433000121230130023310
5113343421121344340
62105423140414004
7134334446560450
oct17003154341364
93576681386564
101031223231220
113683806a2716
12147a366a7304
1376322bca1a0
1437ca910b660
151bc579690ea
hexf019b1c2f4

1031223231220 has 96 divisors (see below), whose sum is σ = 2670414098688. Its totient is φ = 325740828672.

The previous prime is 1031223231191. The next prime is 1031223231251. The reversal of 1031223231220 is 221323221301.

It is a junction number, because it is equal to n+sod(n) for n = 1031223231191 and 1031223231200.

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 31 ways as a sum of consecutive naturals, for example, 410172 + ... + 1493548.

It is an arithmetic number, because the mean of its divisors is an integer number (27816813528).

Almost surely, 21031223231220 is an apocalyptic number.

1031223231220 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 1031223231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335207049344).

1031223231220 is an abundant number, since it is smaller than the sum of its proper divisors (1639190867468).

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

1031223231220 is a wasteful number, since it uses less digits than its factorization.

1031223231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083929 (or 1083927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1031223231220 its reverse (221323221301), we get a palindrome (1252546452521).

The spelling of 1031223231220 in words is "one trillion, thirty-one billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 523 910 1046 1820 2092 2615 3661 5230 6799 7322 10460 13598 14644 18305 27196 33995 36610 47593 67990 73220 95186 135980 190372 237965 475930 951860 1083377 2166754 4333508 5416885 7583639 10833770 14083901 15167278 21667540 28167802 30334556 37918195 56335604 70419505 75836390 98587307 140839010 151672780 197174614 281678020 394349228 492936535 566606171 985873070 1133212342 1971746140 2266424684 2833030855 3966243197 5666061710 7365880223 7932486394 11332123420 14731760446 15864972788 19831215985 29463520892 36829401115 39662431970 51561161561 73658802230 79324863940 103122323122 147317604460 206244646244 257805807805 515611615610 1031223231220