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111022300020 = 223515116677351
BaseRepresentation
bin110011101100101110…
…0011101101101110100
3101121120100001012100210
41213121130131231310
53304333202100040
6123000345105420
711010143656662
oct1473134355564
9347510035323
10111022300020
11430a2215265
1219625188270
13a614244368
145532c97c32
152d4bc31480
hex19d971db74

111022300020 has 96 divisors (see below), whose sum is σ = 313151440896. Its totient is φ = 29388240000.

The previous prime is 111022300019. The next prime is 111022300043. The reversal of 111022300020 is 20003220111.

It is a super-2 number, since 2×1110223000202 (a number of 23 digits) contains 22 as substring.

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 = 111022299969 and 111022300005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15099345 + ... + 15106695.

It is an arithmetic number, because the mean of its divisors is an integer number (3261994176).

Almost surely, 2111022300020 is an apocalyptic number.

111022300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156575720448).

111022300020 is an abundant number, since it is smaller than the sum of its proper divisors (202129140876).

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

111022300020 is a wasteful number, since it uses less digits than its factorization.

111022300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 111022300020 its reverse (20003220111), we get a palindrome (131025520131).

The spelling of 111022300020 in words is "one hundred eleven billion, twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1667 1812 2265 3020 3334 4530 5001 6668 7351 8335 9060 10002 14702 16670 20004 22053 25005 29404 33340 36755 44106 50010 73510 88212 100020 110265 147020 220530 251717 441060 503434 755151 1006868 1110001 1258585 1510302 2220002 2517170 3020604 3330003 3775755 4440004 5034340 5550005 6660006 7551510 11100010 12254117 13320012 15103020 16650015 22200020 24508234 33300030 36762351 49016468 61270585 66600060 73524702 122541170 147049404 183811755 245082340 367623510 735247020 1850371667 3700743334 5551115001 7401486668 9251858335 11102230002 18503716670 22204460004 27755575005 37007433340 55511150010 111022300020