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111011200221020 = 2251122316631136057
BaseRepresentation
bin11001001111011011001111…
…001001111011111101011100
3112120001120022102011101102212
4121033123033021323331130
5104022301414224033040
61032033501421535552
732245203012546311
oct3117331711737534
9476046272141385
10111011200221020
113240a6495179a0
121054a86a4145b8
1349c3407ac83c8
141d5ad83a96d08
15cc79c93b7d65
hex64f6cf27bf5c

111011200221020 has 96 divisors (see below), whose sum is σ = 255474238795776. Its totient is φ = 40183976332800.

The previous prime is 111011200220993. The next prime is 111011200221037. The reversal of 111011200221020 is 20122002110111.

It is a super-2 number, since 2×1110112002210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111011200220986 and 111011200221004.

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, 815848832 + ... + 815984888.

It is an arithmetic number, because the mean of its divisors is an integer number (2661189987456).

Almost surely, 2111011200221020 is an apocalyptic number.

111011200221020 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 111011200221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127737119397888).

111011200221020 is an abundant number, since it is smaller than the sum of its proper divisors (144463038574756).

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

111011200221020 is a wasteful number, since it uses less digits than its factorization.

111011200221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152931 (or 152929 counting only the distinct ones).

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

Adding to 111011200221020 its reverse (20122002110111), we get a palindrome (131133202331131).

The spelling of 111011200221020 in words is "one hundred eleven trillion, eleven billion, two hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2453 4460 4906 9812 12265 16631 24530 33262 49060 66524 83155 136057 166310 182941 272114 332620 365882 544228 680285 731764 914705 1360570 1496627 1829410 2721140 2993254 3658820 3708713 5986508 7417426 7483135 14834852 14966270 18543565 29932540 30340711 37087130 40795843 60681422 74174260 81591686 121362844 151703555 163183372 203979215 303407110 333747821 407958430 606814220 667495642 815916860 1334991284 1668739105 2262763967 3337478210 4525527934 6674956420 9051055868 11313819835 22627639670 24890403637 45255279340 49780807274 99561614548 124452018185 248904036370 497808072740 504596364641 1009192729282 2018385458564 2522981823205 5045963646410 5550560011051 10091927292820 11101120022102 22202240044204 27752800055255 55505600110510 111011200221020