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100021200210 = 232510910195841
BaseRepresentation
bin101110100100110111…
…0100110010101010010
3100120011122112102110200
41131021232212111102
53114320411401320
6113541001240030
710140422113461
oct1351156462522
9316148472420
10100021200210
11394673a6138
1217474a93016
139580023249
144babbbc9d8
152906026290
hex1749ba6552

100021200210 has 48 divisors (see below), whose sum is σ = 262440973080. Its totient is φ = 26427617280.

The previous prime is 100021200157. The next prime is 100021200211. The reversal of 100021200210 is 12002120001.

It can be written as a sum of positive squares in 4 ways, for example, as 84529166121 + 15492034089 = 290739^2 + 124467^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100021200192 and 100021200201.

It is not an unprimeable number, because it can be changed into a prime (100021200211) by changing a digit.

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, 5088111 + ... + 5107730.

Almost surely, 2100021200210 is an apocalyptic number.

100021200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021200210 is an abundant number, since it is smaller than the sum of its proper divisors (162419772870).

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

100021200210 is a wasteful number, since it uses less digits than its factorization.

100021200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195963 (or 10195960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021200210 its reverse (12002120001), we get a palindrome (112023320211).

The spelling of 100021200210 in words is "one hundred billion, twenty-one million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 10195841 20391682 30587523 50979205 61175046 91762569 101958410 152937615 183525138 305875230 458812845 917625690 1111346669 2222693338 3334040007 5556733345 6668080014 10002120021 11113466690 16670200035 20004240042 33340400070 50010600105 100021200210