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213232213312200 = 233252294084908301
BaseRepresentation
bin110000011110111011111110…
…010101000100001011001000
31000221222210121120110002021100
4300132323332111010023020
5210422044033101442300
62033301305415141400
762625343011554265
oct6036737625041310
91027883546402240
10213232213312200
1161a4030150a505
121bab99b8974860
1391c9933041234
143a926cc0ba26c
15199b9d4c70700
hexc1eefe5442c8

213232213312200 has 144 divisors (see below), whose sum is σ = 740798120567700. Its totient is φ = 54901167552000.

The previous prime is 213232213312169. The next prime is 213232213312231. The reversal of 213232213312200 is 2213312232312.

213232213312200 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 322 + 1 + 3 + 312 + 20 + 0 = 666.

213232213312200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213232213312169) and next prime (213232213312231).

It can be written as a sum of positive squares in 6 ways, for example, as 71211556425636 + 142020656886564 = 8438694^2 + 11917242^2 .

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, 2042401951 + ... + 2042506350.

Almost surely, 2213232213312200 is an apocalyptic number.

213232213312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213232213312200 is an abundant number, since it is smaller than the sum of its proper divisors (527565907255500).

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

213232213312200 is a wasteful number, since it uses less digits than its factorization.

213232213312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084908352 (or 4084908340 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213232213312200 its reverse (2213312232312), we get a palindrome (215445525544512).

The spelling of 213232213312200 in words is "two hundred thirteen trillion, two hundred thirty-two billion, two hundred thirteen million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 52200 4084908301 8169816602 12254724903 16339633204 20424541505 24509449806 32679266408 36764174709 40849083010 49018899612 61273624515 73528349418 81698166020 98037799224 102122707525 118462340729 122547249030 147056698836 163396332040 183820873545 204245415050 236924681458 245094498060 294113397672 306368122575 355387022187 367641747090 408490830100 473849362916 490188996120 592311703645 612736245150 710774044374 735283494180 816981660200 919104367725 947698725832 1066161066561 1184623407290 1225472490300 1421548088748 1470566988360 1776935110935 1838208735450 2132322133122 2369246814580 2450944980600 2843096177496 2961558518225 3553870221870 3676417470900 4264644266244 4738493629160 5330805332805 5923117036450 7107740443740 7352834941800 8529288532488 8884675554675 10661610665610 11846234072900 14215480887480 17769351109350 21323221331220 23692468145800 26654026664025 35538702218700 42646442662440 53308053328050 71077404437400 106616106656100 213232213312200