Search a number
-
+
213143342100 = 2235213411332979
BaseRepresentation
bin1100011010000001010…
…1010100110000010100
3202101011022210122100120
43012200111110300110
511443004143421400
6241530001311540
721253614341433
oct3064025246024
9671138718316
10213143342100
11824369506a7
12353853355b0
131713a2cb490
14a45d8c111a
15582728cca0
hex31a0554c14

213143342100 has 144 divisors (see below), whose sum is σ = 680331664320. Its totient is φ = 51186355200.

The previous prime is 213143342047. The next prime is 213143342107. The reversal of 213143342100 is 1243341312.

It is a happy number.

213143342100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213143342107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506590 + ... + 826389.

Almost surely, 2213143342100 is an apocalyptic number.

213143342100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213143342100 is an abundant number, since it is smaller than the sum of its proper divisors (467188322220).

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

213143342100 is a wasteful number, since it uses less digits than its factorization.

213143342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333050 (or 1333043 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213143342100 its reverse (1243341312), we get a palindrome (214386683412).

The spelling of 213143342100 in words is "two hundred thirteen billion, one hundred forty-three million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 41 50 52 60 65 75 78 82 100 123 130 150 156 164 195 205 246 260 300 325 390 410 492 533 615 650 780 820 975 1025 1066 1230 1300 1599 1950 2050 2132 2460 2665 3075 3198 3900 4100 5330 6150 6396 7995 10660 12300 13325 15990 26650 31980 39975 53300 79950 159900 1332979 2665958 3998937 5331916 6664895 7997874 13329790 15995748 17328727 19994685 26659580 33324475 34657454 39989370 51986181 54652139 66648950 69314908 79978740 86643635 99973425 103972362 109304278 133297900 163956417 173287270 199946850 207944724 218608556 259930905 273260695 327912834 346574540 399893700 433218175 519861810 546521390 655825668 710477807 819782085 866436350 1039723620 1093042780 1299654525 1366303475 1420955614 1639564170 1732872700 2131433421 2599309050 2732606950 2841911228 3279128340 3552389035 4098910425 4262866842 5198618100 5465213900 7104778070 8197820850 8525733684 10657167105 14209556140 16395641700 17761945175 21314334210 35523890350 42628668420 53285835525 71047780700 106571671050 213143342100