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212331002201320 = 23579465114447077
BaseRepresentation
bin110000010001110100101001…
…111101100000010011101000
31000211210122102121202012020111
4300101310221331200103220
5210312312343030420240
62031331303225304104
762503260113531242
oct6021645175402350
91024718377665214
10212331002201320
1161723088315132
121b993207035034
13916295c6a0592
143a60c37d11092
15198333b2611ea
hexc11d29f604e8

212331002201320 has 64 divisors (see below), whose sum is σ = 483896209363200. Its totient is φ = 83839271443200.

The previous prime is 212331002201261. The next prime is 212331002201333. The reversal of 212331002201320 is 23102200133212.

It is a junction number, because it is equal to n+sod(n) for n = 212331002201291 and 212331002201300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7473622 + ... + 21920698.

It is an arithmetic number, because the mean of its divisors is an integer number (7560878271300).

Almost surely, 2212331002201320 is an apocalyptic number.

212331002201320 is a gapful number since it is divisible by the number (20) 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 212331002201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241948104681600).

212331002201320 is an abundant number, since it is smaller than the sum of its proper divisors (271565207161880).

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

212331002201320 is a wasteful number, since it uses less digits than its factorization.

212331002201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451818 (or 14451814 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212331002201320 its reverse (23102200133212), we get a palindrome (235433202334532).

The spelling of 212331002201320 in words is "two hundred twelve trillion, three hundred thirty-one billion, two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4651 9302 18604 23255 37208 46510 93020 186040 367429 734858 1469716 1837145 2939432 3674290 7348580 14447077 14697160 28894154 57788308 72235385 115576616 144470770 288941540 577883080 1141319083 2282638166 4565276332 5706595415 9130552664 11413190830 22826381660 45652763320 67193355127 134386710254 268773420508 335966775635 537546841016 671933551270 1343867102540 2687734205080 5308275055033 10616550110066 21233100220132 26541375275165 42466200440264 53082750550330 106165501100660 212331002201320