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31102021400 = 23522310096701
BaseRepresentation
bin11100111101110100…
…110010111100011000
32222021112221101112112
4130331310302330120
51002144104141100
622142120131452
72150510551142
oct347564627430
988245841475
1031102021400
111221030a01a
126040006b88
132c187a2b78
141710951c92
15c2075db35
hex73dd32f18

31102021400 has 96 divisors (see below), whose sum is σ = 75542263200. Its totient is φ = 11886336000.

The previous prime is 31102021397. The next prime is 31102021417. The reversal of 31102021400 is 412020113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4638050 + ... + 4644750.

It is an arithmetic number, because the mean of its divisors is an integer number (786898575).

Almost surely, 231102021400 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 31102021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37771131600).

31102021400 is an abundant number, since it is smaller than the sum of its proper divisors (44440241800).

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

31102021400 is a wasteful number, since it uses less digits than its factorization.

31102021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 31102021400 its reverse (412020113), we get a palindrome (31514041513).

The spelling of 31102021400 in words is "thirty-one billion, one hundred two million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1009 1150 2018 2300 4036 4600 5045 6701 8072 10090 13402 20180 23207 25225 26804 33505 40360 46414 50450 53608 67010 92828 100900 116035 134020 154123 167525 185656 201800 232070 268040 308246 335050 464140 580175 616492 670100 770615 928280 1160350 1232984 1340200 1541230 2320700 3082460 3853075 4641400 6164920 6761309 7706150 13522618 15412300 27045236 30824600 33806545 54090472 67613090 135226180 155510107 169032725 270452360 311020214 338065450 622040428 676130900 777550535 1244080856 1352261800 1555101070 3110202140 3887752675 6220404280 7775505350 15551010700 31102021400