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1133131232233 = 71113191931971567
BaseRepresentation
bin10000011111010011111…
…000100111001111101001
311000022210212022202020001
4100133103320213033221
5122031123043412413
62224315302503001
7144603022361230
oct20372370471751
94008725282201
101133131232233
113a7616049160
12163737434a61
1382b13ab21c0
143cbb5719b17
151e71e4424dd
hex107d3e273e9

1133131232233 has 128 divisors (see below), whose sum is σ = 1618982830080. Its totient is φ = 763754987520.

The previous prime is 1133131232173. The next prime is 1133131232237. The reversal of 1133131232233 is 3322321313311.

It is a happy number.

It is not a de Polignac number, because 1133131232233 - 225 = 1133097677801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1133131232237) 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 127 ways as a sum of consecutive naturals, for example, 723120616 + ... + 723122182.

It is an arithmetic number, because the mean of its divisors is an integer number (12648303360).

Almost surely, 21133131232233 is an apocalyptic number.

1133131232233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1133131232233 is a deficient number, since it is larger than the sum of its proper divisors (485851597847).

1133131232233 is a wasteful number, since it uses less digits than its factorization.

1133131232233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007.

The product of its digits is 5832, while the sum is 28.

Adding to 1133131232233 its reverse (3322321313311), we get a palindrome (4455452545544).

The spelling of 1133131232233 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 7 11 13 19 77 91 133 143 193 197 209 247 1001 1351 1379 1463 1567 1729 2123 2167 2509 2561 2717 3667 3743 10969 14861 15169 17237 17563 17927 19019 20371 25669 26201 27599 28171 29773 38021 40337 41173 47671 48659 120659 142597 193193 197197 208411 224081 266147 282359 288211 302431 308699 327503 333697 340613 387049 418231 494273 524381 535249 722399 1568567 2117017 2160893 2292521 2709343 2927617 3326741 3395689 3459911 3670667 3746743 3931603 4013087 4257539 5056793 5437003 5746189 5865281 7946389 9391187 23287187 23769823 27521221 28091609 29802773 38059021 40223323 41056967 43247633 44143957 55624723 59578907 63208079 64518091 65738309 74700457 76248653 103303057 302733431 309007699 417052349 442456553 451626637 522903199 533740571 655367977 723121399 774525791 821705027 838735183 1131999233 4587575839 5421680537 5751935189 5871146281 7923994631 8519783701 12451991563 14715990029 59638485907 87163940941 103011930203 161875890319 1133131232233