Search a number
-
+
211330122102 = 232114181132099
BaseRepresentation
bin1100010011010001000…
…0011100000101110110
3202012110221220112010100
43010310100130011312
511430301002401402
6241030025534530
721160646253651
oct3046420340566
9665427815110
10211330122102
1181696387680
1234b5a044446
1316c0b760038
14a32ab66898
15576cec271c
hex313441c176

211330122102 has 96 divisors (see below), whose sum is σ = 512337571200. Its totient is φ = 62398512000.

The previous prime is 211330122079. The next prime is 211330122121. The reversal of 211330122102 is 201221033112.

211330122102 is a `hidden beast` number, since 211 + 330 + 1 + 22 + 102 = 666.

211330122102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6567649 + ... + 6599747.

It is an arithmetic number, because the mean of its divisors is an integer number (5336849700).

Almost surely, 2211330122102 is an apocalyptic number.

211330122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211330122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256168785600).

211330122102 is an abundant number, since it is smaller than the sum of its proper divisors (301007449098).

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

211330122102 is a wasteful number, since it uses less digits than its factorization.

211330122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32970 (or 32967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211330122102 its reverse (201221033112), we get a palindrome (412551155214).

The spelling of 211330122102 in words is "two hundred eleven billion, three hundred thirty million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 811 902 1353 1622 2433 2706 4059 4866 7299 8118 8921 14598 17842 26763 32099 33251 53526 64198 66502 80289 96297 99753 160578 192594 199506 288891 299259 353089 365761 577782 598518 706178 731522 1059267 1097283 1316059 2118534 2194566 2632118 3177801 3291849 3948177 6355602 6583698 7896354 11844531 14476649 23689062 26032289 28953298 43429947 52064578 78096867 86859894 130289841 156193734 234290601 260579682 286355179 468581202 572710358 859065537 1067323849 1718131074 2134647698 2577196611 3201971547 5154393222 6403943094 9605914641 11740562339 19211829282 23481124678 35221687017 70443374034 105665061051 211330122102