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1133023211133 = 3113122713813533
BaseRepresentation
bin10000011111001101011…
…100100010111001111101
311000022112100001201010120
4100133031130202321331
5122030412420224013
62224300443325153
7144600241251012
oct20371534427175
94008470051116
101133023211133
113a7570079320
121637072207b9
1382ac75c07a8
143cba523b709
151e714c06123
hex107cd722e7d

1133023211133 has 64 divisors (see below), whose sum is σ = 1710411669504. Its totient is φ = 660936096000.

The previous prime is 1133023211123. The next prime is 1133023211141. The reversal of 1133023211133 is 3311123203311.

It is not a de Polignac number, because 1133023211133 - 217 = 1133023080061 is a prime.

It is a super-2 number, since 2×11330232111332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133023211123) 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 63 ways as a sum of consecutive naturals, for example, 320695435 + ... + 320698967.

It is an arithmetic number, because the mean of its divisors is an integer number (26725182336).

Almost surely, 21133023211133 is an apocalyptic number.

It is an amenable number.

1133023211133 is a deficient number, since it is larger than the sum of its proper divisors (577388458371).

1133023211133 is a wasteful number, since it uses less digits than its factorization.

1133023211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1133023211133 its reverse (3311123203311), we get a palindrome (4444146414444).

The spelling of 1133023211133 in words is "one trillion, one hundred thirty-three billion, twenty-three million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 11 31 33 93 227 341 681 1023 1381 2497 3533 4143 7037 7491 10599 15191 21111 38863 42811 45573 77407 109523 116589 128433 232221 313487 328569 470921 801991 940461 1204753 1412763 2405973 3448357 3614259 4879073 8821901 9718097 10345071 14637219 24861721 26465703 29154291 53669803 74585163 106899067 151251263 161009409 273478931 320697201 453753789 820436793 1107549571 1663763893 3322648713 4991291679 12183045281 34334036701 36549135843 103002110103 377674403711 1133023211133