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1134401211333 = 33137344272771
BaseRepresentation
bin10000100000011111100…
…101001100101111000101
311000110002101000101001000
4100200133211030233011
5122041223202230313
62225045310523513
7144646343125215
oct20403745145705
94013071011030
101134401211333
113a8107a01265
12163a30806599
1382c86c38820
143cc96264245
151e795ba2673
hex1081f94cbc5

1134401211333 has 32 divisors (see below), whose sum is σ = 1834663671680. Its totient is φ = 688530119040.

The previous prime is 1134401211329. The next prime is 1134401211341. The reversal of 1134401211333 is 3331121044311.

1134401211333 is a `hidden beast` number, since 1 + 1 + 3 + 440 + 1 + 211 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 1134401211333 - 22 = 1134401211329 is a prime.

It is a super-2 number, since 2×11344012113332 (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1134401211297 and 1134401211306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134401213333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22110763 + ... + 22162008.

It is an arithmetic number, because the mean of its divisors is an integer number (57333239740).

Almost surely, 21134401211333 is an apocalyptic number.

1134401211333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1134401211333 is a deficient number, since it is larger than the sum of its proper divisors (700262460347).

1134401211333 is a wasteful number, since it uses less digits than its factorization.

1134401211333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44272866 (or 44272860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1134401211333 its reverse (3331121044311), we get a palindrome (4465522255644).

The spelling of 1134401211333 in words is "one trillion, one hundred thirty-four billion, four hundred one million, two hundred eleven thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 73 117 219 351 657 949 1971 2847 8541 25623 44272771 132818313 398454939 575546023 1195364817 1726638069 3231912283 5179914207 9695736849 15539742621 29087210547 42014859679 87261631641 126044579037 378133737111 1134401211333