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1100555511102 = 2332912714937139
BaseRepresentation
bin10000000000111110001…
…110000110010100111110
310220012201121100122201000
4100000332032012110332
5121012414202323402
62201331020031130
7142340535331305
oct20007616062476
93805647318630
101100555511102
11394819992783
121593659924a6
137ca21bc8078
143b3a518d43c
151d964631c1c
hex1003e38653e

1100555511102 has 128 divisors (see below), whose sum is σ = 2567116800000. Its totient is φ = 349044909696.

The previous prime is 1100555511071. The next prime is 1100555511113. The reversal of 1100555511102 is 2011155550011.

It is a happy number.

1100555511102 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 5 + 551 + 1 + 102 = 666.

It is a super-2 number, since 2×11005555111022 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29614849 + ... + 29651987.

It is an arithmetic number, because the mean of its divisors is an integer number (20055600000).

Almost surely, 21100555511102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100555511102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283558400000).

1100555511102 is an abundant number, since it is smaller than the sum of its proper divisors (1466561288898).

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

1100555511102 is a wasteful number, since it uses less digits than its factorization.

1100555511102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37455 (or 37449 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 27.

The spelling of 1100555511102 in words is "one trillion, one hundred billion, five hundred fifty-five million, five hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 127 149 174 254 261 298 381 447 522 762 783 894 1143 1341 1566 2286 2682 3429 3683 4023 4321 6858 7366 8046 8642 11049 12963 18923 22098 25926 33147 37139 37846 38889 56769 66294 74278 77778 99441 111417 113538 116667 170307 198882 222834 233334 334251 340614 510921 548767 668502 1002753 1021842 1077031 1097534 1646301 2005506 2154062 3231093 3292602 4716653 4938903 5533711 6462186 9433306 9693279 9877806 11067422 14149959 14816709 16601133 19386558 28299918 29079837 29633418 33202266 42449877 49803399 58159674 84899754 99606798 127349631 136782937 149410197 160477619 254699262 273565874 298820394 320955238 410348811 481432857 702781297 820697622 962865714 1231046433 1405562594 1444298571 2108343891 2462092866 2888597142 3693139299 4216687782 4332895713 6325031673 7386278598 8665791426 12650063346 18975095019 20380657613 37950190038 40761315226 61141972839 122283945678 183425918517 366851837034 550277755551 1100555511102