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31110100200 = 233252107161527
BaseRepresentation
bin11100111110010011…
…100111010011101000
32222022010010211120100
4130332103213103220
51002203141201300
622143005225400
72150636326404
oct347623472350
988263124510
1031110100200
1112214927813
126042862260
132c1a37111a
141711a56104
15c21307700
hex73e4e74e8

31110100200 has 144 divisors (see below), whose sum is σ = 105455170080. Its totient is φ = 8218442880.

The previous prime is 31110100193. The next prime is 31110100279. The reversal of 31110100200 is 200101113.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 111837 + ... + 273363.

It is an arithmetic number, because the mean of its divisors is an integer number (732327570).

Almost surely, 231110100200 is an apocalyptic number.

31110100200 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 31110100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52727585040).

31110100200 is an abundant number, since it is smaller than the sum of its proper divisors (74345069880).

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

31110100200 is a wasteful number, since it uses less digits than its factorization.

31110100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161656 (or 161644 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31110100200 its reverse (200101113), we get a palindrome (31310201313).

The spelling of 31110100200 in words is "thirty-one billion, one hundred ten million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 7704 8025 9630 10700 12840 16050 19260 21400 24075 32100 38520 48150 64200 96300 161527 192600 323054 484581 646108 807635 969162 1292216 1453743 1615270 1938324 2422905 2907486 3230540 3876648 4038175 4845810 5814972 6461080 7268715 8076350 9691620 11629944 12114525 14537430 16152700 17283389 19383240 24229050 29074860 32305400 34566778 36343575 48458100 51850167 58149720 69133556 72687150 86416945 96916200 103700334 138267112 145374300 155550501 172833890 207400668 259250835 290748600 311101002 345667780 414801336 432084725 518501670 622202004 691335560 777752505 864169450 1037003340 1244404008 1296254175 1555505010 1728338900 2074006680 2592508350 3111010020 3456677800 3888762525 5185016700 6222020040 7777525050 10370033400 15555050100 31110100200