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10020111111120 = 2435113795496633
BaseRepresentation
bin1001000111001111110100…
…1010011101001111010000
31022110220122202211112212210
42101303331022131033100
52303132141421023440
633151101523552120
72052633460101315
oct221637512351720
938426582745783
1010020111111120
113213561553510
121159b6ab2b640
13578b7a867186
14268d94098d0c
151259a580aa80
hex91cfd29d3d0

10020111111120 has 80 divisors (see below), whose sum is σ = 33886193948352. Its totient is φ = 2429117844480.

The previous prime is 10020111111119. The next prime is 10020111111121. The reversal of 10020111111120 is 2111111102001.

It is an interprime number because it is at equal distance from previous prime (10020111111119) and next prime (10020111111121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020111111096 and 10020111111105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020111111121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1897745677 + ... + 1897750956.

Almost surely, 210020111111120 is an apocalyptic number.

10020111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020111111120 is an abundant number, since it is smaller than the sum of its proper divisors (23866082837232).

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

10020111111120 is a wasteful number, since it uses less digits than its factorization.

10020111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795496660 (or 3795496654 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10020111111120 its reverse (2111111102001), we get a palindrome (12131222213121).

The spelling of 10020111111120 in words is "ten trillion, twenty billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3795496633 7590993266 11386489899 15181986532 18977483165 22772979798 30363973064 37954966330 41750462963 45545959596 56932449495 60727946128 75909932660 83500925926 91091919192 113864898990 125251388889 151819865320 167001851852 182183838384 208752314815 227729797980 250502777778 303639730640 334003703704 417504629630 455459595960 501005555556 626256944445 668007407408 835009259260 910919191920 1002011111112 1252513888890 1670018518520 2004022222224 2505027777780 3340037037040 5010055555560 10020111111120