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1011211022133 = 35138931311491
BaseRepresentation
bin11101011011100001101…
…11111010111100110101
310120200010000221100200000
432231300313322330311
5113031430010202013
62052313253341513
7133025515603524
oct16556067727465
93520100840600
101011211022133
1135a941294844
12143b90637899
1374483b39350
1436d2b3684bb
151b485ada973
hexeb70dfaf35

1011211022133 has 96 divisors (see below), whose sum is σ = 1654996936320. Its totient is φ = 613272591360.

The previous prime is 1011211022123. The next prime is 1011211022201. The reversal of 1011211022133 is 3312201121101.

It is not a de Polignac number, because 1011211022133 - 210 = 1011211021109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011211022113) 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, 87994518 + ... + 88006008.

It is an arithmetic number, because the mean of its divisors is an integer number (17239551420).

Almost surely, 21011211022133 is an apocalyptic number.

1011211022133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011211022133 is a deficient number, since it is larger than the sum of its proper divisors (643785914187).

1011211022133 is a wasteful number, since it uses less digits than its factorization.

1011211022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011211022133 its reverse (3312201121101), we get a palindrome (4323412143234).

The spelling of 1011211022133 in words is "one trillion, eleven billion, two hundred eleven million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 89 117 243 267 313 351 801 939 1053 1157 2403 2817 3159 3471 4069 7209 8451 10413 11491 12207 21627 25353 27857 31239 34473 36621 76059 83571 93717 103419 109863 149383 250713 281151 310257 329589 362141 448149 752139 930771 988767 1022699 1086423 1344447 2256417 2792313 3068097 3259269 3596683 4033341 6769251 9204291 9777807 10790049 12100023 13295087 27612873 29333421 32370147 36300069 39885261 46756879 82838619 88000263 97110441 119655783 140270637 248515857 291331323 320104787 358967349 420811911 873993969 960314361 1076902047 1262435733 2880943083 3230706141 3787307199 4161362231 8642829249 11361921597 12484086693 25928487747 37452260079 77785463241 112356780237 337070340711 1011211022133