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22111020011120 = 2452394649248749
BaseRepresentation
bin1010000011100000111110…
…11111100100111001110000
32220021210102000001021012112
411001300133133210321300
510344231332110323440
6115005355023144452
74441316455034525
oct501603737447160
986253360037175
1022111020011120
11705525a3aa427
12259131ba45128
13c450a246a681
1456627156b14c
15285259791965
hex141c1f7e4e70

22111020011120 has 80 divisors (see below), whose sum is σ = 51634530000000. Its totient is φ = 8805472241664.

The previous prime is 22111020011117. The next prime is 22111020011153. The reversal of 22111020011120 is 2111002011122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22111020011095 and 22111020011104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 88764506 + ... + 89013254.

It is an arithmetic number, because the mean of its divisors is an integer number (645431625000).

Almost surely, 222111020011120 is an apocalyptic number.

22111020011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111020011120 is an abundant number, since it is smaller than the sum of its proper divisors (29523509988880).

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

22111020011120 is a wasteful number, since it uses less digits than its factorization.

22111020011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253650 (or 253644 counting only the distinct ones).

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

Adding to 22111020011120 its reverse (2111002011122), we get a palindrome (24222022022242).

The spelling of 22111020011120 in words is "twenty-two trillion, one hundred eleven billion, twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4649 4780 9298 9560 18596 19120 23245 37192 46490 74384 92980 185960 248749 371920 497498 994996 1111111 1243745 1989992 2222222 2487490 3979984 4444444 4974980 5555555 8888888 9949960 11111110 17777776 19899920 22222220 44444440 59451011 88888880 118902022 237804044 297255055 475608088 594510110 951216176 1156434101 1189020220 2312868202 2378040440 4625736404 4756080880 5782170505 9251472808 11564341010 18502945616 23128682020 46257364040 92514728080 276387750139 552775500278 1105551000556 1381938750695 2211102001112 2763877501390 4422204002224 5527755002780 11055510005560 22111020011120