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31121102320 = 2457118360869
BaseRepresentation
bin11100111110111101…
…100101010111110000
32222022212211210122021
4130332331211113300
51002214000233240
622144041121224
72151132001510
oct347675452760
988285753567
1031121102320
1112220061880
126046489214
132c1c723b59
1417132bb840
15c2227c54a
hex73ef655f0

31121102320 has 160 divisors (see below), whose sum is σ = 91299156480. Its totient is φ = 9583057920.

The previous prime is 31121102303. The next prime is 31121102371. The reversal of 31121102320 is 2320112113.

It is a super-2 number, since 2×311211023202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31121102294 and 31121102303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480846 + ... + 541714.

It is an arithmetic number, because the mean of its divisors is an integer number (570619728).

Almost surely, 231121102320 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 31121102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45649578240).

31121102320 is an abundant number, since it is smaller than the sum of its proper divisors (60178054160).

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

31121102320 is a wasteful number, since it uses less digits than its factorization.

31121102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60983 (or 60977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31121102320 its reverse (2320112113), we get a palindrome (33441214433).

The spelling of 31121102320 in words is "thirty-one billion, one hundred twenty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 83 88 110 112 140 154 166 176 220 280 308 332 385 415 440 560 581 616 664 770 830 880 913 1162 1232 1328 1540 1660 1826 2324 2905 3080 3320 3652 4565 4648 5810 6160 6391 6640 7304 9130 9296 11620 12782 14608 18260 23240 25564 31955 36520 46480 51128 60869 63910 73040 102256 121738 127820 243476 255640 304345 426083 486952 511280 608690 669559 852166 973904 1217380 1339118 1704332 2130415 2434760 2678236 3347795 3408664 4260830 4686913 4869520 5052127 5356472 6695590 6817328 8521660 9373826 10104254 10712944 13391180 17043320 18747652 20208508 23434565 25260635 26782360 34086640 35364889 37495304 40417016 46869130 50521270 53564720 55573397 70729778 74990608 80834032 93738260 101042540 111146794 141459556 176824445 187476520 202085080 222293588 277866985 282919112 353648890 374953040 389013779 404170160 444587176 555733970 565838224 707297780 778027558 889174352 1111467940 1414595560 1556055116 1945068895 2222935880 2829191120 3112110232 3890137790 4445871760 6224220464 7780275580 15560551160 31121102320