Search a number
-
+
211110021012 = 223116789268207
BaseRepresentation
bin1100010010011100100…
…0110100011110010100
3202011220121202020012010
43010213020310132110
511424323131133022
6240552124224220
721152334366552
oct3044710643624
9664817666163
10211110021012
1181593115450
1234ab839b070
1316ba4c885c7
14a309830bd2
1557589e750c
hex3127234794

211110021012 has 96 divisors (see below), whose sum is σ = 551521474560. Its totient is φ = 62309617920.

The previous prime is 211110020999. The next prime is 211110021077. The reversal of 211110021012 is 210120011112.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 653013 + ... + 921219.

It is an arithmetic number, because the mean of its divisors is an integer number (5745015360).

Almost surely, 2211110021012 is an apocalyptic number.

211110021012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275760737280).

211110021012 is an abundant number, since it is smaller than the sum of its proper divisors (340411453548).

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

211110021012 is a wasteful number, since it uses less digits than its factorization.

211110021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268381 (or 268379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211110021012 its reverse (210120011112), we get a palindrome (421230032124).

The spelling of 211110021012 in words is "two hundred eleven billion, one hundred ten million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 89 132 134 178 201 267 268 356 402 534 737 804 979 1068 1474 1958 2211 2937 2948 3916 4422 5874 5963 8844 11748 11926 17889 23852 35778 65593 71556 131186 196779 262372 268207 393558 536414 787116 804621 1072828 1609242 2950277 3218484 5900554 8850831 11801108 17701662 17969869 23870423 35403324 35939738 47740846 53909607 71611269 71879476 95481692 107819214 143222538 197668559 215638428 262574653 286445076 395337118 525149306 593005677 787723959 790674236 1050298612 1186011354 1575447918 1599318341 2372022708 3150895836 3198636682 4797955023 6397273364 9595910046 17592501751 19191820092 35185003502 52777505253 70370007004 105555010506 211110021012