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31312210200 = 23352349149533
BaseRepresentation
bin11101001010010110…
…100110100100011000
32222211012110002100220
4131022112212210120
51003111411211300
622215025200040
72155642252365
oct351226464430
988735402326
1031312210200
1112308a20a77
12609a490020
132c501b693b
14173082746c
15c33e2bda0
hex74a5a6918

31312210200 has 96 divisors (see below), whose sum is σ = 97346634000. Its totient is φ = 8325941760.

The previous prime is 31312210169. The next prime is 31312210211. The reversal of 31312210200 is 201221313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31312210200.

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, 134634 + ... + 284166.

Almost surely, 231312210200 is an apocalyptic number.

31312210200 is a gapful number since it is divisible by the number (30) 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 31312210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48673317000).

31312210200 is an abundant number, since it is smaller than the sum of its proper divisors (66034423800).

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

31312210200 is a wasteful number, since it uses less digits than its factorization.

31312210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149901 (or 149892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31312210200 its reverse (201221313), we get a palindrome (31513431513).

The spelling of 31312210200 in words is "thirty-one billion, three hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 349 600 698 1047 1396 1745 2094 2792 3490 4188 5235 6980 8376 8725 10470 13960 17450 20940 26175 34900 41880 52350 69800 104700 149533 209400 299066 448599 598132 747665 897198 1196264 1495330 1794396 2242995 2990660 3588792 3738325 4485990 5981320 7476650 8971980 11214975 14953300 17943960 22429950 29906600 44859900 52187017 89719800 104374034 156561051 208748068 260935085 313122102 417496136 521870170 626244204 782805255 1043740340 1252488408 1304675425 1565610510 2087480680 2609350850 3131221020 3914026275 5218701700 6262442040 7828052550 10437403400 15656105100 31312210200