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1201133101233 = 31327143177419
BaseRepresentation
bin10001011110101001000…
…111001010000010110001
311020211100000211121122210
4101132221013022002301
5124134410033214413
62315443134522333
7152531124622122
oct21365107120261
94224300747583
101201133101233
1142344135a89a
121749550663a9
1389360288100
14421c6c02049
152139e40e3c3
hex117a91ca0b1

1201133101233 has 48 divisors (see below), whose sum is σ = 1762708469760. Its totient is φ = 727047921600.

The previous prime is 1201133101187. The next prime is 1201133101249. The reversal of 1201133101233 is 3321013311021.

It is a happy number.

It is not a de Polignac number, because 1201133101233 - 28 = 1201133100977 is a prime.

It is a super-2 number, since 2×12011331012332 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201133101283) 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, 15475998 + ... + 15553416.

It is an arithmetic number, because the mean of its divisors is an integer number (36723093120).

Almost surely, 21201133101233 is an apocalyptic number.

1201133101233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1201133101233 is a deficient number, since it is larger than the sum of its proper divisors (561575368527).

1201133101233 is a wasteful number, since it uses less digits than its factorization.

1201133101233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77950 (or 77937 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1201133101233 its reverse (3321013311021), we get a palindrome (4522146412254).

The spelling of 1201133101233 in words is "one trillion, two hundred one billion, one hundred thirty-three million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 3 13 39 71 169 213 431 507 923 1293 2769 5603 11999 16809 30601 35997 72839 77419 91803 218517 232257 397813 1006447 1193439 3019341 5171569 5496749 13083811 15514707 16490247 33367589 39251433 71457737 100102767 214373211 433778657 928950581 1301335971 2369098819 2786851743 5639122541 7107296457 16917367623 30798284647 92394853941 400377700411 1201133101233