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1134123301311 = 37111319131151733
BaseRepresentation
bin10000100000001111000…
…001000011100110111111
311000102101000002002011020
4100200033001003212333
5122040141031120221
62225001542155223
7144636430001010
oct20401701034677
94012330062136
101134123301311
113a7a85045360
12163973722b13
1382c414a3520
143cc6b3a1007
151e77b5a8ac6
hex1080f0439bf

1134123301311 has 128 divisors (see below), whose sum is σ = 2153506037760. Its totient is φ = 511276147200.

The previous prime is 1134123301301. The next prime is 1134123301321. The reversal of 1134123301311 is 1131033214311.

It is an interprime number because it is at equal distance from previous prime (1134123301301) and next prime (1134123301321).

It is not a de Polignac number, because 1134123301311 - 213 = 1134123293119 is a prime.

It is a super-2 number, since 2×11341233013112 (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 (1134123301301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7398601 + ... + 7550333.

It is an arithmetic number, because the mean of its divisors is an integer number (16824265920).

Almost surely, 21134123301311 is an apocalyptic number.

1134123301311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1134123301311 is a deficient number, since it is larger than the sum of its proper divisors (1019382736449).

1134123301311 is a wasteful number, since it uses less digits than its factorization.

1134123301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151917.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1134123301311 its reverse (1131033214311), we get a palindrome (2265156515622).

The spelling of 1134123301311 in words is "one trillion, one hundred thirty-four billion, one hundred twenty-three million, three hundred one thousand, three hundred eleven".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 131 133 143 209 231 247 273 393 399 429 627 741 917 1001 1441 1463 1703 1729 2489 2717 2751 3003 4323 4389 5109 5187 7467 8151 10087 11921 17423 18733 19019 27379 30261 32357 35763 52269 56199 57057 82137 97071 131131 151733 191653 226499 355927 393393 455199 574959 679497 1062131 1067781 1669063 1972529 2491489 2882927 3186393 5007189 5917587 7474467 8648781 11683441 13807703 19877023 20180489 21697819 31712197 35050323 37478051 41423109 59631069 60541467 65093457 95136591 112434153 139139161 151884733 218647253 221985379 258401299 262346357 377663437 412258561 417417483 455654199 655941759 665956137 775203897 787039071 1132990311 1236775683 1530530771 1808809093 2643644059 2842414289 2885809927 4154297807 4591592313 4909624681 5426427279 7930932177 8527242867 8657429781 12462893421 14728874043 19896900023 29080084649 34367372767 54005871491 59690700069 87240253947 103102118301 162017614473 378041100437 1134123301311