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110420255520 = 25325731050421
BaseRepresentation
bin110011011010110001…
…1110110001100100000
3101120000101012011120100
41212311203312030200
53302120041134040
6122420521142400
710656213454131
oct1466543661440
9346011164510
10110420255520
11429133a0323
121949762aa00
13a5495b1003
1454b6d3bc88
152d13e5cb30
hex19b58f6320

110420255520 has 144 divisors (see below), whose sum is σ = 381971254392. Its totient is φ = 29042012160.

The previous prime is 110420255489. The next prime is 110420255527. The reversal of 110420255520 is 25552024011.

110420255520 is a `hidden beast` number, since 1 + 104 + 2 + 0 + 2 + 5 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79476631056 + 30943624464 = 281916^2 + 175908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (110420255527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420091 + ... + 630330.

Almost surely, 2110420255520 is an apocalyptic number.

110420255520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110420255520 is an abundant number, since it is smaller than the sum of its proper divisors (271550998872).

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

110420255520 is a wasteful number, since it uses less digits than its factorization.

110420255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050515 (or 1050504 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 110420255520 its reverse (25552024011), we get a palindrome (135972279531).

It can be divided in two parts, 110420 and 255520, that added together give a triangular number (365940 = T855).

The spelling of 110420255520 in words is "one hundred ten billion, four hundred twenty million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52560 105120 1050421 2100842 3151263 4201684 5252105 6302526 8403368 9453789 10504210 12605052 15756315 16806736 18907578 21008420 25210104 31512630 33613472 37815156 42016840 47268945 50420208 63025260 75630312 76680733 84033680 94537890 100840416 126050520 151260624 153361466 168067360 189075780 230042199 252101040 302521248 306722932 378151560 383403665 460084398 504202080 613445864 690126597 756303120 766807330 920168796 1150210995 1226891728 1380253194 1512606240 1533614660 1840337592 2300421990 2453783456 2760506388 3067229320 3450632985 3680675184 4600843980 5521012776 6134458640 6901265970 7361350368 9201687960 11042025552 12268917280 13802531940 18403375920 22084051104 27605063880 36806751840 55210127760 110420255520