Search a number
-
+
1201121132310 = 2325112611946451
BaseRepresentation
bin10001011110101000011…
…001011111111100010110
311020211022012022112101100
4101132220121133330112
5124134344002213220
62315442030210530
7152530621112241
oct21365031377426
94224265275340
101201121132310
11423435625420
12174951053a46
138935a9572c8
14421c53a8258
152139d347d90
hex117a865ff16

1201121132310 has 96 divisors (see below), whose sum is σ = 3407020081920. Its totient is φ = 291163464000.

The previous prime is 1201121132213. The next prime is 1201121132317. The reversal of 1201121132310 is 132311211021.

1201121132310 is a `hidden beast` number, since 1 + 201 + 1 + 21 + 132 + 310 = 666.

It is a super-2 number, since 2×12011211323102 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201121132317) by changing a digit.

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, 25834585 + ... + 25881035.

It is an arithmetic number, because the mean of its divisors is an integer number (35489792520).

Almost surely, 21201121132310 is an apocalyptic number.

1201121132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201121132310 is an abundant number, since it is smaller than the sum of its proper divisors (2205898949610).

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

1201121132310 is a wasteful number, since it uses less digits than its factorization.

1201121132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72594 (or 72591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1201121132310 its reverse (132311211021), we get a palindrome (1333432343331).

The spelling of 1201121132310 in words is "one trillion, two hundred one billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 26119 46451 52238 78357 92902 130595 139353 156714 232255 235071 261190 278706 287309 391785 418059 464510 470142 510961 574618 696765 783570 836118 861927 1021922 1175355 1393530 1436545 1532883 1723854 2090295 2350710 2554805 2585781 2873090 3065766 4180590 4309635 4598649 5109610 5171562 7664415 8619270 9197298 12928905 15328830 22993245 25857810 45986490 1213253669 2426507338 3639761007 6066268345 7279522014 10919283021 12132536690 13345790359 18198805035 21838566042 26691580718 36397610070 40037371077 54596415105 66728951795 80074742154 109192830210 120112113231 133457903590 200186855385 240224226462 400373710770 600560566155 1201121132310