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10020112211120 = 2451121760890327
BaseRepresentation
bin1001000111001111110100…
…1110101001110010110000
31022110220122211220102210112
42101303331032221302300
52303132142211223440
633151102003320452
72052633502332314
oct221637516516260
938426584812715
1010020112211120
113213562134a00
121159b6b380128
13578b7ab60a6b
14268d942a3b44
151259a5976965
hex91cfd3a9cb0

10020112211120 has 120 divisors (see below), whose sum is σ = 27113488813152. Its totient is φ = 3429343160320.

The previous prime is 10020112211089. The next prime is 10020112211143. The reversal of 10020112211120 is 2111221102001.

It is a super-2 number, since 2×100201122111202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020112211095 and 10020112211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30280604 + ... + 30609723.

Almost surely, 210020112211120 is an apocalyptic number.

10020112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020112211120 is an abundant number, since it is smaller than the sum of its proper divisors (17093376602032).

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

10020112211120 is a wasteful number, since it uses less digits than its factorization.

10020112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60890379 (or 60890362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10020112211120 its reverse (2111221102001), we get a palindrome (12131333313121).

It can be divided in two parts, 100201 and 12211120, that added together give a palindrome (12311321).

The spelling of 10020112211120 in words is "ten trillion, twenty billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 121 136 170 176 187 220 242 272 340 374 440 484 605 680 748 880 935 968 1210 1360 1496 1870 1936 2057 2420 2992 3740 4114 4840 7480 8228 9680 10285 14960 16456 20570 32912 41140 82280 164560 60890327 121780654 243561308 304451635 487122616 608903270 669793597 974245232 1035135559 1217806540 1339587194 2070271118 2435613080 2679174388 3348967985 4140542236 4871226160 5175677795 5358348776 6697935970 7367729567 8281084472 10351355590 10716697552 11386491149 13395871940 14735459134 16562168944 20702711180 22772982298 26791743880 29470918268 36838647835 41405422360 45545964596 53583487760 56932455745 58941836536 73677295670 82810844720 91091929192 113864911490 117883673072 125251402639 147354591340 182183858384 227729822980 250502805278 294709182680 455459645960 501005610556 589418365360 626257013195 910919291920 1002011221112 1252514026390 2004022442224 2505028052780 5010056105560 10020112211120