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1121011310133 = 32111319128116229
BaseRepresentation
bin10000010100000001011…
…110110001111000110101
310222011112012112220200100
4100110001132301320311
5121331312343411013
62214552510504313
7143663463626331
oct20240136617065
93864465486610
101121011310133
113a2466729310
12161314505099
1381931b50070
143c385c027c1
151e2603d4473
hex105017b1e35

1121011310133 has 96 divisors (see below), whose sum is σ = 1919205550080. Its totient is φ = 621597312000.

The previous prime is 1121011310131. The next prime is 1121011310143. The reversal of 1121011310133 is 3310131101211.

1121011310133 is a `hidden beast` number, since 1 + 1 + 210 + 11 + 310 + 133 = 666.

It is not a de Polignac number, because 1121011310133 - 21 = 1121011310131 is a prime.

It is a super-2 number, since 2×11210113101332 (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 (1121011310131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69066463 + ... + 69082691.

It is an arithmetic number, because the mean of its divisors is an integer number (19991724480).

Almost surely, 21121011310133 is an apocalyptic number.

1121011310133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1121011310133 is a deficient number, since it is larger than the sum of its proper divisors (798194239947).

1121011310133 is a wasteful number, since it uses less digits than its factorization.

1121011310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16731 (or 16728 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1121011310133 its reverse (3310131101211), we get a palindrome (4431142411344).

The spelling of 1121011310133 in words is "one trillion, one hundred twenty-one billion, eleven million, three hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 191 281 429 573 843 1287 1719 2101 2483 2529 3091 3653 6303 7449 9273 10959 16229 18909 22347 27313 27819 32877 40183 48687 53671 81939 120549 146061 161013 178519 210977 245817 361647 483039 535557 590381 632931 697723 1606671 1771143 1898793 2093169 2320747 3099739 4560349 5313429 6279507 6962241 7674953 9299217 13681047 20886723 23024859 27897651 34097129 40296607 41043141 50163839 59284537 69074577 102291387 120889821 150491517 177853611 306874161 362669463 443262677 451474551 533560833 652129907 871026659 1329788031 1956389721 2613079977 3989364093 5869169163 7839239931 9581293249 11323346567 28743879747 33970039701 86231639241 101910119103 124556812237 373670436711 1121011310133