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1031311233220 = 225172739112683
BaseRepresentation
bin11110000000111101111…
…00001001000011000100
310122120222212000212200111
433000132330021003010
5113344111133430340
62105440002522404
7134336565562162
oct17003674110304
93576885025614
101031311233220
11368416339944
12147a60066404
13763381cc888
1437cb6a98232
151bc6054daea
hexf01ef090c4

1031311233220 has 144 divisors (see below), whose sum is σ = 2335590690048. Its totient is φ = 382376816640.

The previous prime is 1031311233149. The next prime is 1031311233221. The reversal of 1031311233220 is 223321131301.

It is a junction number, because it is equal to n+sod(n) for n = 1031311233191 and 1031311233200.

It is not an unprimeable number, because it can be changed into a prime (1031311233221) 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 47 ways as a sum of consecutive naturals, for example, 384385999 + ... + 384388681.

It is an arithmetic number, because the mean of its divisors is an integer number (16219379792).

Almost surely, 21031311233220 is an apocalyptic number.

1031311233220 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 1031311233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167795345024).

1031311233220 is an abundant number, since it is smaller than the sum of its proper divisors (1304279456828).

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

1031311233220 is a wasteful number, since it uses less digits than its factorization.

1031311233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1031311233220 its reverse (223321131301), we get a palindrome (1254632364521).

The spelling of 1031311233220 in words is "one trillion, thirty-one billion, three hundred eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 289 292 340 365 578 730 911 1156 1241 1445 1460 1822 2482 2683 2890 3644 4555 4964 5366 5780 6205 9110 10732 12410 13415 15487 18220 21097 24820 26830 30974 42194 45611 53660 61948 66503 77435 84388 91222 105485 133006 154870 182444 195859 210970 228055 263279 266012 309740 332515 391718 421940 456110 526558 665030 775387 783436 912220 979295 1053116 1130551 1316395 1330060 1550774 1958590 2261102 2444213 2632790 3101548 3329603 3876935 3917180 4522204 4888426 5265580 5652755 6659206 7753870 9776852 11305510 12221065 13318412 15507740 16648015 19219367 22611020 24442130 33296030 38438734 41551621 48884260 56603251 66592060 76877468 83103242 96096835 113206502 166206484 178427549 192193670 207758105 226413004 283016255 356855098 384387340 415516210 566032510 706377557 713710196 831032420 892137745 1132065020 1412755114 1784275490 2825510228 3033268333 3531887785 3568550980 6066536666 7063775570 12133073332 14127551140 15166341665 30332683330 51565561661 60665366660 103131123322 206262246644 257827808305 515655616610 1031311233220