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20110010210100 = 22325289251061301
BaseRepresentation
bin1001001001010001110100…
…00000111101011100110100
32122012111110012002012122200
410210220322000331130310
510113440300103210400
6110434224450424500
74143620541255246
oct444507200753464
978174405065580
1020110010210100
116453675551148
122309555892130
13b2b49a947005
144d748893c096
1524d192ce8b00
hex124a3a03d734

20110010210100 has 108 divisors (see below), whose sum is σ = 63741953964780. Its totient is φ = 5302414656000.

The previous prime is 20110010210089. The next prime is 20110010210113. The reversal of 20110010210100 is 101201001102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 675772778916 + 19434237431184 = 822054^2 + 4408428^2 .

It is a super-2 number, since 2×201100102101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125450551 + ... + 125610750.

Almost surely, 220110010210100 is an apocalyptic number.

20110010210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110010210100 is an abundant number, since it is smaller than the sum of its proper divisors (43631943754680).

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

20110010210100 is a wasteful number, since it uses less digits than its factorization.

20110010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251061410 (or 251061400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20110010210100 its reverse (101201001102), we get a palindrome (20211211211202).

The spelling of 20110010210100 in words is "twenty trillion, one hundred ten billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 801 890 900 1068 1335 1602 1780 2225 2670 3204 4005 4450 5340 6675 8010 8900 13350 16020 20025 26700 40050 80100 251061301 502122602 753183903 1004245204 1255306505 1506367806 2259551709 2510613010 3012735612 3765919515 4519103418 5021226020 6276532525 7531839030 9038206836 11297758545 12553065050 15063678060 18829597575 22344455789 22595517090 25106130100 37659195150 44688911578 45191034180 56488792725 67033367367 75318390300 89377823156 111722278945 112977585450 134066734734 201100102101 223444557890 225955170900 268133469468 335166836835 402200204202 446889115780 558611394725 670333673670 804400408404 1005500510505 1117222789450 1340667347340 1675834184175 2011001021010 2234445578900 3351668368350 4022002042020 5027502552525 6703336736700 10055005105050 20110010210100