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100110200021010 = 23258830112597089
BaseRepresentation
bin10110110000110010111000…
…111010010010000000010010
3111010110102220222002121220100
4112300302320322102000102
5101110201142201133020
6552525554015353230
730041503036645314
oct2660627072220022
9433412828077810
10100110200021010
1129997552054003
12b28a03b522816
1343b2474c0687a
141aa15067c17b4
15b89169227a90
hex5b0cb8e92012

100110200021010 has 48 divisors (see below), whose sum is σ = 260289488436120. Its totient is φ = 26695748889600.

The previous prime is 100110200020891. The next prime is 100110200021023. The reversal of 100110200021010 is 10120002011001.

It is a happy number.

100110200021010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47533068502929 + 52577131518081 = 6894423^2 + 7251009^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110200020983 and 100110200021001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648546 + ... + 14245634.

Almost surely, 2100110200021010 is an apocalyptic number.

100110200021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110200021010 is an abundant number, since it is smaller than the sum of its proper divisors (160179288415110).

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

100110200021010 is a wasteful number, since it uses less digits than its factorization.

100110200021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685403 (or 12685400 counting only the distinct ones).

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

Adding to 100110200021010 its reverse (10120002011001), we get a palindrome (110230202032011).

The spelling of 100110200021010 in words is "one hundred trillion, one hundred ten billion, two hundred million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 88301 176602 264903 441505 529806 794709 883010 1324515 1589418 2649030 3973545 7947090 12597089 25194178 37791267 62985445 75582534 113373801 125970890 188956335 226747602 377912670 566869005 1133738010 1112335555789 2224671111578 3337006667367 5561677778945 6674013334734 10011020002101 11123355557890 16685033336835 20022040004202 33370066673670 50055100010505 100110200021010