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2112312210 = 235412716337
BaseRepresentation
bin111110111100111…
…0101001110010010
312110012200120121120
41331321311032102
513311222442320
6545334103110
7103226233431
oct17571651622
95405616546
102112312210
11994388478
124ab4aaa96
1327880bca8
14160773118
15c569a440
hex7de75392

2112312210 has 64 divisors (see below), whose sum is σ = 5213182464. Its totient is φ = 547430400.

The previous prime is 2112312197. The next prime is 2112312229. The reversal of 2112312210 is 122132112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112312210.

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 31 ways as a sum of consecutive naturals, for example, 330162 + ... + 336498.

It is an arithmetic number, because the mean of its divisors is an integer number (81455976).

Almost surely, 22112312210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606591232).

2112312210 is an abundant number, since it is smaller than the sum of its proper divisors (3100870254).

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

2112312210 is a wasteful number, since it uses less digits than its factorization.

2112312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6659.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2112312210 is about 45959.8978458395. The cubic root of 2112312210 is about 1283.0769501140.

Adding to 2112312210 its reverse (122132112), we get a palindrome (2234444322).

It can be divided in two parts, 21123 and 12210, that added together give a palindrome (33333).

The spelling of 2112312210 in words is "two billion, one hundred twelve million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 6337 8130 11111 12674 19011 22222 31685 33333 38022 55555 63370 66666 95055 111110 166665 190110 259817 333330 519634 779451 1299085 1558902 1717327 2598170 3434654 3897255 5151981 7794510 8586635 10303962 17173270 25759905 51519810 70410407 140820814 211231221 352052035 422462442 704104070 1056156105 2112312210