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212302311320 = 23511736609661
BaseRepresentation
bin1100010110111000110…
…1000010111110011000
3202021222201020212000102
43011232031002332120
511434243342430240
6241310315154532
721224022604601
oct3055615027630
9667881225012
10212302311320
1182045135840
123518b745a48
1317034cb0828
14a3bdd14da8
1557c850d815
hex316e342f98

212302311320 has 64 divisors (see below), whose sum is σ = 528244187040. Its totient is φ = 76143283200.

The previous prime is 212302311307. The next prime is 212302311337. The reversal of 212302311320 is 23113203212.

212302311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212302311292 and 212302311301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3272711 + ... + 3336950.

Almost surely, 2212302311320 is an apocalyptic number.

212302311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212302311320 is an abundant number, since it is smaller than the sum of its proper divisors (315941875720).

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

212302311320 is a wasteful number, since it uses less digits than its factorization.

212302311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609756 (or 6609752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212302311320 its reverse (23113203212), we get a palindrome (235415514532).

The spelling of 212302311320 in words is "two hundred twelve billion, three hundred two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 6609661 13219322 26438644 33048305 52877288 66096610 72706271 132193220 145412542 264386440 290825084 363531355 482505253 581650168 727062710 965010506 1454125420 1930021012 2412526265 2908250840 3860042024 4825052530 5307557783 9650105060 10615115566 19300210120 21230231132 26537788915 42460462264 53075577830 106151155660 212302311320