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212102001012 = 2231110115909241
BaseRepresentation
bin1100010110001001000…
…0111011000101110100
3202021110202100000221010
43011202100323011310
511433341103013022
6241234401552220
721216041155536
oct3054220730564
9667422300833
10212102001012
1181a52060730
1235134645670
1317002648215
14a3a1491856
1557b5b4250c
hex316243b174

212102001012 has 48 divisors (see below), whose sum is σ = 545241541824. Its totient is φ = 63636960000.

The previous prime is 212102000983. The next prime is 212102001019. The reversal of 212102001012 is 210100201212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7941289 + ... + 7967952.

It is an arithmetic number, because the mean of its divisors is an integer number (11359198788).

Almost surely, 2212102001012 is an apocalyptic number.

212102001012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212102001012 is an abundant number, since it is smaller than the sum of its proper divisors (333139540812).

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

212102001012 is a wasteful number, since it uses less digits than its factorization.

212102001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15909360 (or 15909358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102001012 its reverse (210100201212), we get a palindrome (422202202224).

It can be divided in two parts, 21210200 and 1012, that added together give a palindrome (21211212).

The spelling of 212102001012 in words is "two hundred twelve billion, one hundred two million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 15909241 31818482 47727723 63636964 95455446 175001651 190910892 350003302 525004953 700006604 1050009906 1606833341 2100019812 3213666682 4820500023 6427333364 9641000046 17675166751 19282000092 35350333502 53025500253 70700667004 106051000506 212102001012