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213101312200 = 23527672271869
BaseRepresentation
bin1100011001110111010…
…0111111100011001000
3202101001101201022011121
43012131310333203020
511442412413442300
6241521500405024
721252564160330
oct3063564774310
9671041638147
10213101312200
1182415153a47
1235373246774
13171316a3a0a
14a4580a00c0
15582373981a
hex319dd3f8c8

213101312200 has 96 divisors (see below), whose sum is σ = 574692235200. Its totient is φ = 71972778240.

The previous prime is 213101312183. The next prime is 213101312213. The reversal of 213101312200 is 2213101312.

It is a super-2 number, since 2×2131013122002 (a number of 23 digits) contains 22 as substring.

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, 1042135 + ... + 1229734.

It is an arithmetic number, because the mean of its divisors is an integer number (5986377450).

Almost surely, 2213101312200 is an apocalyptic number.

213101312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213101312200 is an abundant number, since it is smaller than the sum of its proper divisors (361590923000).

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

213101312200 is a wasteful number, since it uses less digits than its factorization.

213101312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271959 (or 2271950 counting only the distinct ones).

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

Adding to 213101312200 its reverse (2213101312), we get a palindrome (215314413512).

The spelling of 213101312200 in words is "two hundred thirteen billion, one hundred one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1340 1400 1675 1876 2345 2680 3350 3752 4690 6700 9380 11725 13400 18760 23450 46900 93800 2271869 4543738 9087476 11359345 15903083 18174952 22718690 31806166 45437380 56796725 63612332 79515415 90874760 113593450 127224664 152215223 159030830 227186900 304430446 318061660 397577075 454373800 608860892 636123320 761076115 795154150 1065506561 1217721784 1522152230 1590308300 2131013122 3044304460 3180616600 3805380575 4262026244 5327532805 6088608920 7610761150 8524052488 10655065610 15221522300 21310131220 26637664025 30443044600 42620262440 53275328050 106550656100 213101312200