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31211323220 = 22572112263209
BaseRepresentation
bin11101000100010101…
…101111111101010100
32222120011121111110002
4131010111233331110
51002410044320340
622201022550432
72153305604300
oct350425577524
988504544402
1031211323220
1112266a84100
126070738418
132c353224bc
141721284d00
15c2a14e715
hex74456ff54

31211323220 has 108 divisors (see below), whose sum is σ = 83806590420. Its totient is φ = 9728167680.

The previous prime is 31211323177. The next prime is 31211323259. The reversal of 31211323220 is 2232311213.

It can be written as a sum of positive squares in 2 ways, for example, as 8480936464 + 22730386756 = 92092^2 + 150766^2 .

It is a super-2 number, since 2×312113232202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31211323192 and 31211323201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13025 + ... + 250184.

Almost surely, 231211323220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31211323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41903295210).

31211323220 is an abundant number, since it is smaller than the sum of its proper divisors (52595267200).

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

31211323220 is a wasteful number, since it uses less digits than its factorization.

31211323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263254 (or 263234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31211323220 its reverse (2232311213), we get a palindrome (33443634433).

The spelling of 31211323220 in words is "thirty-one billion, two hundred eleven million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 385 484 490 539 605 770 847 980 1078 1210 1540 1694 2156 2420 2695 3388 4235 5390 5929 8470 10780 11858 16940 23716 29645 59290 118580 263209 526418 1052836 1316045 1842463 2632090 2895299 3684926 5264180 5790598 7369852 9212315 11581196 12897241 14476495 18424630 20267093 25794482 28952990 31848289 36849260 40534186 51588964 57905980 63696578 64486205 81068372 101335465 127393156 128972410 141869651 159241445 202670930 222938023 257944820 283739302 318482890 405341860 445876046 567478604 636965780 709348255 891752092 1114690115 1418696510 1560566161 2229380230 2837393020 3121132322 4458760460 6242264644 7802830805 15605661610 31211323220