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11145066102 = 2334771127487
BaseRepresentation
bin10100110000100110…
…00011011001110110
31001202201102000112000
422120103003121312
5140311114103402
65041525240130
7543120333042
oct123023033166
931681360460
1011145066102
1147aa110135
1221b0563046
131087cb9891
1477a273022
15453696c1c
hex2984c3676

11145066102 has 128 divisors (see below), whose sum is σ = 25905070080. Its totient is φ = 3549238560.

The previous prime is 11145066019. The next prime is 11145066103. The reversal of 11145066102 is 20166054111.

11145066102 is a `hidden beast` number, since 1 + 1 + 1 + 45 + 0 + 6 + 610 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145066103) 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, 22884903 + ... + 22885389.

It is an arithmetic number, because the mean of its divisors is an integer number (202383360).

Almost surely, 211145066102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145066102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952535040).

11145066102 is an abundant number, since it is smaller than the sum of its proper divisors (14760003978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11145066102 is a wasteful number, since it uses less digits than its factorization.

11145066102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11145066102 in words is "eleven billion, one hundred forty-five million, sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 71 94 127 141 142 213 254 282 381 423 426 487 639 762 846 974 1143 1269 1278 1461 1917 2286 2538 2922 3337 3429 3834 4383 5969 6674 6858 8766 9017 10011 11938 13149 17907 18034 20022 22889 26298 27051 30033 34577 35814 45778 53721 54102 60066 61849 68667 69154 81153 90099 103731 107442 123698 137334 161163 162306 180198 185547 206001 207462 243459 311193 322326 371094 412002 423799 486918 556641 618003 622386 847598 933579 1113282 1236006 1271397 1625119 1669923 1867158 2542794 2906903 3250238 3339846 3814191 4391279 4875357 5813806 7628382 8720709 8782558 9750714 11442573 13173837 14626071 17441418 22885146 26162127 26347674 29252142 39521511 43878213 52324254 78486381 79043022 87756426 118564533 156972762 206390113 237129066 412780226 619170339 1238340678 1857511017 3715022034 5572533051 11145066102