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110552054130 = 23257260741299
BaseRepresentation
bin110011011110101101…
…0100111100101110010
3101120100120012020021100
41212331122213211302
53302402311213010
6122441550105230
710662403645500
oct1467532474562
9346316166240
10110552054130
11429808305a1
12195137ab216
13a56a9a935b
1454ca649670
152d207e42c0
hex19bd6a7972

110552054130 has 144 divisors (see below), whose sum is σ = 334922515200. Its totient is φ = 25226800704.

The previous prime is 110552054117. The next prime is 110552054149. The reversal of 110552054130 is 31450255011.

110552054130 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 520 + 5 + 4 + 130 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110552054094 and 110552054103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2656221 + ... + 2697519.

It is an arithmetic number, because the mean of its divisors is an integer number (2325850800).

Almost surely, 2110552054130 is an apocalyptic number.

110552054130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110552054130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167461257600).

110552054130 is an abundant number, since it is smaller than the sum of its proper divisors (224370461070).

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

110552054130 is a wasteful number, since it uses less digits than its factorization.

110552054130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41933 (or 41923 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 110552054130 in words is "one hundred ten billion, five hundred fifty-two million, fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 607 630 735 882 1214 1470 1821 2205 3035 3642 4249 4410 5463 6070 8498 9105 10926 12747 18210 21245 25494 27315 29743 38241 41299 42490 54630 59486 63735 76482 82598 89229 123897 127470 148715 178458 191205 206495 247794 267687 289093 297430 371691 382410 412990 446145 535374 578186 619485 743382 867279 892290 1238970 1338435 1445465 1734558 1858455 2023651 2601837 2676870 2890930 3716910 4047302 4336395 5203674 6070953 8672790 10118255 12141906 13009185 18212859 20236510 25068493 26018370 30354765 36425718 50136986 60709530 75205479 91064295 125342465 150410958 175479451 182128590 225616437 250684930 350958902 376027395 451232874 526438353 752054790 877397255 1052876706 1128082185 1228356157 1579315059 1754794510 2256164370 2456712314 2632191765 3158630118 3685068471 5264383530 6141780785 7370136942 7896575295 11055205413 12283561570 15793150590 18425342355 22110410826 36850684710 55276027065 110552054130