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111123001020 = 223512744932479
BaseRepresentation
bin110011101111101110…
…0100110111010111100
3101121211100112100011110
41213133130212322330
53310034442013040
6123014343322020
711012505631623
oct1473734467274
9347740470143
10111123001020
1143144045429
1219652a50310
13a62c071c55
1455423cc6ba
152d559c3980
hex19df726ebc

111123001020 has 96 divisors (see below), whose sum is σ = 314302464000. Its totient is φ = 29333090304.

The previous prime is 111123001007. The next prime is 111123001039. The reversal of 111123001020 is 20100321111.

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 = 111123000987 and 111123001005.

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, 3405141 + ... + 3437619.

It is an arithmetic number, because the mean of its divisors is an integer number (3273984000).

Almost surely, 2111123001020 is an apocalyptic number.

111123001020 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 111123001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157151232000).

111123001020 is an abundant number, since it is smaller than the sum of its proper divisors (203179462980).

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

111123001020 is a wasteful number, since it uses less digits than its factorization.

111123001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33067 (or 33065 counting only the distinct ones).

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

Adding to 111123001020 its reverse (20100321111), we get a palindrome (131223322131).

The spelling of 111123001020 in words is "one hundred eleven billion, one hundred twenty-three million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 449 508 635 762 898 1270 1347 1524 1796 1905 2245 2540 2694 3810 4490 5388 6735 7620 8980 13470 26940 32479 57023 64958 97437 114046 129916 162395 171069 194874 228092 285115 324790 342138 389748 487185 570230 649580 684276 855345 974370 1140460 1710690 1948740 3421380 4124833 8249666 12374499 14583071 16499332 20624165 24748998 29166142 41248330 43749213 49497996 58332284 61872495 72915355 82496660 87498426 123744990 145830710 174996852 218746065 247489980 291661420 437492130 874984260 1852050017 3704100034 5556150051 7408200068 9260250085 11112300102 18520500170 22224600204 27780750255 37041000340 55561500510 111123001020