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133012441102041 = 33151617158333403
BaseRepresentation
bin11110001111100101011111…
…010011010111011011011001
3122102221212100201102000211000
4132033211133103113123121
5114413233434410231131
61150521023305255213
740005555200452224
oct3617453723273331
9572855321360730
10133012441102041
1139422294414016
1212b02851494509
13592b03374c517
1424bbb9d4d65bb
151059e5b13ece6
hex78f95f4d76d9

133012441102041 has 64 divisors (see below), whose sum is σ = 198813424803840. Its totient is φ = 87886754524800.

The previous prime is 133012441102033. The next prime is 133012441102043. The reversal of 133012441102041 is 140201144210331.

It is a happy number.

133012441102041 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 2 + 441 + 10 + 204 + 1 = 666.

It is not a de Polignac number, because 133012441102041 - 23 = 133012441102033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133012441101996 and 133012441102014.

It is not an unprimeable number, because it can be changed into a prime (133012441102043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3982034046 + ... + 3982067448.

It is an arithmetic number, because the mean of its divisors is an integer number (3106459762560).

Almost surely, 2133012441102041 is an apocalyptic number.

It is an amenable number.

133012441102041 is a deficient number, since it is larger than the sum of its proper divisors (65800983701799).

133012441102041 is a wasteful number, since it uses less digits than its factorization.

133012441102041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35763 (or 35757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 133012441102041 its reverse (140201144210331), we get a palindrome (273213585312372).

The spelling of 133012441102041 in words is "one hundred thirty-three trillion, twelve billion, four hundred forty-one million, one hundred two thousand, forty-one".

Divisors: 1 3 9 27 151 453 617 1359 1583 1851 4077 4749 5553 14247 16659 33403 42741 93167 100209 239033 279501 300627 717099 838503 901881 976711 2151297 2515509 2930133 5043853 6453891 8790399 15131559 20609651 26371197 45394677 52876949 61828953 136184031 147483361 158630847 185486859 442450083 475892541 556460577 1327350249 1427677623 3112057301 3982050747 7984419299 9336171903 23953257897 28008515709 32625077533 71859773691 84025547127 97875232599 215579321073 293625697797 880877093391 4926386707483 14779160122449 44337480367347 133012441102041