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1131122011113 = 36171910944071
BaseRepresentation
bin10000011101011100001…
…000000010101111101001
311000010121211121202000000
4100131130020002233221
5122013014213323423
62223344050133213
7144502154312553
oct20353410025751
94003554552000
101131122011113
113a6784983636
12163276581209
1382883759973
143ca649404d3
151e652d5c843
hex1075c202be9

1131122011113 has 112 divisors (see below), whose sum is σ = 1907559561600. Its totient is φ = 666186094080.

The previous prime is 1131122011067. The next prime is 1131122011121. The reversal of 1131122011113 is 3111102211311.

1131122011113 is a `hidden beast` number, since 11 + 311 + 220 + 11 + 113 = 666.

It is not a de Polignac number, because 1131122011113 - 28 = 1131122010857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131122011813) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25643868 + ... + 25687938.

It is an arithmetic number, because the mean of its divisors is an integer number (17031781800).

Almost surely, 21131122011113 is an apocalyptic number.

It is an amenable number.

1131122011113 is a deficient number, since it is larger than the sum of its proper divisors (776437550487).

1131122011113 is a wasteful number, since it uses less digits than its factorization.

1131122011113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44234 (or 44219 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1131122011113 its reverse (3111102211311), we get a palindrome (4242224222424).

The spelling of 1131122011113 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-two million, eleven thousand, one hundred thirteen".

Divisors: 1 3 9 17 19 27 51 57 81 109 153 171 243 323 327 459 513 729 969 981 1377 1539 1853 2071 2907 2943 4131 4617 5559 6213 8721 8829 12393 13851 16677 18639 26163 26487 35207 44071 50031 55917 78489 79461 105621 132213 150093 167751 235467 316863 396639 450279 503253 749207 837349 950589 1189917 1350837 1509759 2247621 2512047 2851767 3569751 4803739 6742863 7536141 8555301 10709253 14234933 14411217 20228589 22608423 25665903 32127759 42704799 43233651 60685767 67825269 81663563 91271041 128114397 129700953 182057301 203475807 244990689 273813123 384343191 389102859 546171903 610427421 734972067 821439369 1153029573 1167308577 1551607697 2204916201 2464318107 3459088719 3501925731 4654823091 6614748603 7392954321 10377266157 13964469273 19844245809 22178862963 41893407819 59532737427 66536588889 125680223457 377040670371 1131122011113