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31213332200 = 23522329233983
BaseRepresentation
bin11101000100011101…
…011010011011101000
32222120022101120020202
4131010131122123220
51002411103112300
622201134011332
72153331642341
oct350435323350
988508346222
1031213332200
1112268126516
126071346b48
132c35876a4b
1417216490c8
15c2a3e9ad5
hex74475a6e8

31213332200 has 96 divisors (see below), whose sum is σ = 78337843200. Its totient is φ = 11530632960.

The previous prime is 31213332149. The next prime is 31213332253. The reversal of 31213332200 is 223331213.

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

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, 16409 + ... + 250391.

It is an arithmetic number, because the mean of its divisors is an integer number (816019200).

Almost surely, 231213332200 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 31213332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168921600).

31213332200 is an abundant number, since it is smaller than the sum of its proper divisors (47124511000).

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

31213332200 is a wasteful number, since it uses less digits than its factorization.

31213332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234051 (or 234042 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31213332200 its reverse (223331213), we get a palindrome (31436663413).

The spelling of 31213332200 in words is "thirty-one billion, two hundred thirteen million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 145 184 200 230 232 290 460 575 580 667 725 920 1150 1160 1334 1450 2300 2668 2900 3335 4600 5336 5800 6670 13340 16675 26680 33350 66700 133400 233983 467966 935932 1169915 1871864 2339830 4679660 5381609 5849575 6785507 9359320 10763218 11699150 13571014 21526436 23398300 26908045 27142028 33927535 43052872 46796600 53816090 54284056 67855070 107632180 134540225 135710140 156066661 169637675 215264360 269080450 271420280 312133322 339275350 538160900 624266644 678550700 780333305 1076321800 1248533288 1357101400 1560666610 3121333220 3901666525 6242666440 7803333050 15606666100 31213332200