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110100212020 = 225172322436277
BaseRepresentation
bin110011010001001111…
…0111110100100110100
3101112012001222021102101
41212202132332210310
53300441123241040
6122325045351444
710645246234531
oct1464236764464
9345161867371
10110100212020
1142769776967
1219408408584
13a4c81b6066
14548662bd88
152ce5ce009a
hex19a27be934

110100212020 has 96 divisors (see below), whose sum is σ = 255609623808. Its totient is φ = 39623350272.

The previous prime is 110100212017. The next prime is 110100212039. The reversal of 110100212020 is 20212001011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110100211988 and 110100212006.

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, 17537122 + ... + 17543398.

It is an arithmetic number, because the mean of its divisors is an integer number (2662600248).

Almost surely, 2110100212020 is an apocalyptic number.

110100212020 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 110100212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127804811904).

110100212020 is an abundant number, since it is smaller than the sum of its proper divisors (145509411788).

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

110100212020 is a wasteful number, since it uses less digits than its factorization.

110100212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110100212020 its reverse (20212001011), we get a palindrome (130312213031).

The spelling of 110100212020 in words is "one hundred ten billion, one hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 2243 3910 4486 6277 7820 8972 11215 12554 22430 25108 31385 38131 44860 51589 62770 76262 103178 106709 125540 144371 152524 190655 206356 213418 257945 288742 381310 426836 515890 533545 577484 721855 762620 877013 1031780 1067090 1443710 1754026 2134180 2454307 2887420 3508052 4385065 4908614 8770130 9817228 12271535 14079311 17540260 24543070 28158622 49086140 56317244 70396555 140793110 239348287 281586220 323824153 478696574 647648306 957393148 1196741435 1295296612 1619120765 2393482870 3238241530 4786965740 5505010601 6476483060 11010021202 22020042404 27525053005 55050106010 110100212020