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212034104300 = 225219234852039
BaseRepresentation
bin1100010101111000110…
…1111010101111101100
3202021022000120112011002
43011132031322233230
511433221212314200
6241223534415432
721214255102124
oct3053615725754
9667260515132
10212034104300
1181a177a6947
1235115961578
1316cc1564b55
14a396459c84
1557aebcebd5
hex315e37abec

212034104300 has 72 divisors (see below), whose sum is σ = 505388486400. Its totient is φ = 76856281920.

The previous prime is 212034104291. The next prime is 212034104309. The reversal of 212034104300 is 3401430212.

It is an interprime number because it is at equal distance from previous prime (212034104291) and next prime (212034104309).

It is a super-2 number, since 2×2120341043002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212034104309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382320 + ... + 2469719.

Almost surely, 2212034104300 is an apocalyptic number.

212034104300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212034104300 is an abundant number, since it is smaller than the sum of its proper divisors (293354382100).

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

212034104300 is a wasteful number, since it uses less digits than its factorization.

212034104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852095 (or 4852088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212034104300 its reverse (3401430212), we get a palindrome (215435534512).

The spelling of 212034104300 in words is "two hundred twelve billion, thirty-four million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 21850 43700 4852039 9704078 19408156 24260195 48520390 92188741 97040780 111596897 121300975 184377482 223193794 242601950 368754964 446387588 460943705 485203900 557984485 921887410 1115968970 1843774820 2120341043 2231937940 2304718525 2789922425 4240682086 4609437050 5579844850 8481364172 9218874100 10601705215 11159689700 21203410430 42406820860 53008526075 106017052150 212034104300