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212211106340 = 225373281910091
BaseRepresentation
bin1100010110100011000…
…1001000001000100100
3202021202100122011022012
43011220301020020210
511434102020400330
6241253300253352
721221534433062
oct3055061101044
9667670564265
10212211106340
1181aa8701122
12351650a1258
131701c12929c
14a3b1b73032
1557c04e4c95
hex3168c48224

212211106340 has 48 divisors (see below), whose sum is σ = 447040883520. Its totient is φ = 84618453120.

The previous prime is 212211106307. The next prime is 212211106351. The reversal of 212211106340 is 43601112212.

It is a super-3 number, since 3×2122111063403 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21024695 + ... + 21034785.

It is an arithmetic number, because the mean of its divisors is an integer number (9313351740).

Almost surely, 2212211106340 is an apocalyptic number.

212211106340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211106340 is an abundant number, since it is smaller than the sum of its proper divisors (234829777180).

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

212211106340 is a wasteful number, since it uses less digits than its factorization.

212211106340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 212211106340 its reverse (43601112212), we get a palindrome (255812218552).

The spelling of 212211106340 in words is "two hundred twelve billion, two hundred eleven million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 2819 3730 5638 7460 10091 11276 14095 20182 28190 40364 50455 56380 100910 201820 1051487 2102974 3763943 4205948 5257435 7527886 10514870 15055772 18819715 21029740 28446529 37639430 56893058 75278860 113786116 142232645 284465290 568930580 10610555317 21221110634 42442221268 53052776585 106105553170 212211106340