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1121131121033 = 711193747440669
BaseRepresentation
bin10000010100001000100…
…111110100100110001001
310222011211112222221100002
4100110020213310212021
5121332034031333113
62215012430452345
7143666450202260
oct20241047644611
93864745887302
101121131121033
113a2518320a90
121613486640b5
138195090bba1
143c397aad5d7
151e26ab9dc58
hex105089f4989

1121131121033 has 64 divisors (see below), whose sum is σ = 1543261593600. Its totient is φ = 788125904640.

The previous prime is 1121131121017. The next prime is 1121131121051. The reversal of 1121131121033 is 3301211311211.

It is a cyclic number.

It is not a de Polignac number, because 1121131121033 - 24 = 1121131121017 is a prime.

It is a super-2 number, since 2×11211311210332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121131120996 and 1121131121014.

It is not an unprimeable number, because it can be changed into a prime (1121131121233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2323823 + ... + 2764491.

It is an arithmetic number, because the mean of its divisors is an integer number (24113462400).

Almost surely, 21121131121033 is an apocalyptic number.

It is an amenable number.

1121131121033 is a deficient number, since it is larger than the sum of its proper divisors (422130472567).

1121131121033 is a wasteful number, since it uses less digits than its factorization.

1121131121033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440790.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1121131121033 its reverse (3301211311211), we get a palindrome (4422342432244).

The spelling of 1121131121033 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, thirty-three".

Divisors: 1 7 11 19 37 47 77 133 209 259 329 407 517 703 893 1463 1739 2849 3619 4921 6251 7733 9823 12173 19129 33041 54131 68761 133903 231287 363451 440669 2544157 3084683 4847359 8372711 16304753 20711443 33931513 58608977 92099821 114133271 144980101 179352283 227825873 309790307 393517417 644698747 766323391 1255465981 1594781111 2168532149 2754621919 3407693377 4328691587 5364263737 8429557301 14560144429 23853853639 30300841109 59006901107 101921011003 160161588719 1121131121033