Search a number
-
+
13022022102210 = 23251117773738687
BaseRepresentation
bin1011110101111110110100…
…0000000110110011000010
31201002220010002222020021200
42331133231000012303002
53201323100124232320
643410122342402030
72512544563363122
oct275375500066302
951086102866250
1013022022102210
114170676aa2070
121563908a30316
13735c82278624
143303aaabac82
15178aecbce290
hexbd7ed006cc2

13022022102210 has 96 divisors (see below), whose sum is σ = 39107848246272. Its totient is φ = 2971156554240.

The previous prime is 13022022102197. The next prime is 13022022102217. The reversal of 13022022102210 is 1220122022031.

13022022102210 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 221 + 0 + 221 + 0 = 666.

13022022102210 is digitally balanced in base 2, 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13022022102217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386852514 + ... + 386886173.

It is an arithmetic number, because the mean of its divisors is an integer number (407373419232).

Almost surely, 213022022102210 is an apocalyptic number.

13022022102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13022022102210 is an abundant number, since it is smaller than the sum of its proper divisors (26085826144062).

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

13022022102210 is a wasteful number, since it uses less digits than its factorization.

13022022102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773738728 (or 773738725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13022022102210 its reverse (1220122022031), we get a palindrome (14242144124241).

The spelling of 13022022102210 in words is "thirteen trillion, twenty-two billion, twenty-two million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 773738687 1547477374 2321216061 3868693435 4642432122 6963648183 7737386870 8511125557 11606080305 13153557679 13927296366 17022251114 23212160610 25533376671 26307115358 34818240915 39460673037 42555627785 51066753342 65767788395 69636481830 76600130013 78921346074 85111255570 118382019111 127666883355 131535576790 144689134469 153200260026 197303365185 236764038222 255333766710 289378268938 383000650065 394606730370 434067403407 591910095555 723445672345 766001300130 868134806814 1183820191110 1302202210221 1446891344690 2170337017035 2604404420442 4340674034070 6511011051105 13022022102210