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133011201000222 = 2335639436809787
BaseRepresentation
bin11110001111100100010101…
…011000110000001100011110
3122102221202011021221022221000
4132033210111120300030132
5114413223414424001342
61150520300245451130
740005512361663066
oct3617442530601436
9572852137838830
10133011201000222
1139421808408186
1212b02566110aa6
13592ab9685706c
1424bbac29283a6
151059dd733244c
hex78f91563031e

133011201000222 has 32 divisors (see below), whose sum is σ = 295632864518400. Its totient is φ = 44329204322424.

The previous prime is 133011201000217. The next prime is 133011201000233. The reversal of 133011201000222 is 222000102110331.

133011201000222 is a `hidden beast` number, since 1 + 330 + 1 + 12 + 0 + 100 + 0 + 222 = 666.

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 = 133011201000195 and 133011201000204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 218100388 + ... + 218709399.

It is an arithmetic number, because the mean of its divisors is an integer number (9238527016200).

Almost surely, 2133011201000222 is an apocalyptic number.

133011201000222 is an abundant number, since it is smaller than the sum of its proper divisors (162621663518178).

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

133011201000222 is a wasteful number, since it uses less digits than its factorization.

133011201000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436815437 (or 436815431 counting only the distinct ones).

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

Adding to 133011201000222 its reverse (222000102110331), we get a palindrome (355011303110553).

The spelling of 133011201000222 in words is "one hundred thirty-three trillion, eleven billion, two hundred one million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 5639 11278 16917 33834 50751 101502 152253 304506 436809787 873619574 1310429361 2620858722 3931288083 7862576166 11793864249 23587728498 2463170388893 4926340777786 7389511166679 14779022333358 22168533500037 44337067000074 66505600500111 133011201000222