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110201022102020 = 22561349258821509
BaseRepresentation
bin11001000011101000101100…
…110001101011101000000100
3112110012010002201002121222212
4121003220230301223220010
5103421013143124231040
61030213352313042552
732132522026300043
oct3103505461535004
9473163081077885
10110201022102020
1132127a9a050803
12104398433b6458
134964bb1298915
141d2da87a8455a
15cb18ac781d65
hex643a2cc6ba04

110201022102020 has 48 divisors (see below), whose sum is σ = 235889924214000. Its totient is φ = 43233544696320.

The previous prime is 110201022101993. The next prime is 110201022102029. The reversal of 110201022102020 is 20201220102011.

It can be written as a sum of positive squares in 8 ways, for example, as 285256400836 + 109915765701184 = 534094^2 + 10484072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110201022101986 and 110201022102004.

It is not an unprimeable number, because it can be changed into a prime (110201022102029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128984975 + ... + 129836534.

It is an arithmetic number, because the mean of its divisors is an integer number (4914373421125).

Almost surely, 2110201022102020 is an apocalyptic number.

110201022102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201022102020 is an abundant number, since it is smaller than the sum of its proper divisors (125688902111980).

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

110201022102020 is a wasteful number, since it uses less digits than its factorization.

110201022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258821928 (or 258821926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110201022102020 its reverse (20201220102011), we get a palindrome (130402242204031).

The spelling of 110201022102020 in words is "one hundred ten trillion, two hundred one billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 349 610 698 1220 1396 1745 3490 6980 21289 42578 85156 106445 212890 425780 258821509 517643018 1035286036 1294107545 2588215090 5176430180 15788112049 31576224098 63152448196 78940560245 90328706641 157881120490 180657413282 315762240980 361314826564 451643533205 903287066410 1806574132820 5510051105101 11020102210202 22040204420404 27550255525505 55100511051010 110201022102020