Search a number
-
+
10302212020122 = 232113712711072861
BaseRepresentation
bin1001010111101010101110…
…1100000001011110011010
31100110212210212110112201200
42111322223230001132122
52322242412234120442
633524434301255030
72112211263211131
oct225725354013632
940425725415650
1010302212020122
11331216411a820
1211a4779b64476
13599657336979
142788b5d5a918
1512ceb68e534c
hex95eabb0179a

10302212020122 has 96 divisors (see below), whose sum is σ = 25205731559424. Its totient is φ = 3013589577600.

The previous prime is 10302212020027. The next prime is 10302212020201. The reversal of 10302212020122 is 22102021220301.

10302212020122 is a `hidden beast` number, since 10 + 302 + 212 + 0 + 20 + 122 = 666.

It is a super-2 number, since 2×103022120201222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10302212020095 and 10302212020104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4606029 + ... + 6466832.

It is an arithmetic number, because the mean of its divisors is an integer number (262559703744).

Almost surely, 210302212020122 is an apocalyptic number.

10302212020122 is an abundant number, since it is smaller than the sum of its proper divisors (14903519539302).

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

10302212020122 is a wasteful number, since it uses less digits than its factorization.

10302212020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11073044 (or 11073041 counting only the distinct ones).

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

Adding to 10302212020122 its reverse (22102021220301), we get a palindrome (32404233240423).

The spelling of 10302212020122 in words is "ten trillion, three hundred two billion, two hundred twelve million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 127 198 222 254 333 381 407 666 762 814 1143 1221 1397 2286 2442 2794 3663 4191 4699 7326 8382 9398 12573 14097 25146 28194 42291 51689 84582 103378 155067 310134 465201 930402 11072861 22145722 33218583 66437166 99655749 121801471 199311498 243602942 365404413 409695857 730808826 819391714 1096213239 1229087571 1406253347 2192426478 2458175142 2812506694 3687262713 4218760041 4506654427 7374525426 8437520082 9013308854 12656280123 13519963281 15468786817 25312560246 27039926562 30937573634 40559889843 46406360451 52031373839 81119779686 92812720902 104062747678 139219081353 156094121517 278438162706 312188243034 468282364551 572345112229 936564729102 1144690224458 1717035336687 3434070673374 5151106010061 10302212020122