Search a number
-
+
101002121220220 = 22511617526238541
BaseRepresentation
bin10110111101110001100011…
…100011101001000001111100
3111020121201010111012002212121
4112331301203203221001330
5101214304321013021340
6554451422310212324
730163106502025633
oct2675614343510174
9436551114162777
10101002121220220
112a200839344230
12b3b2a7a0540a4
1344485c7a1c27c
141ad2758c6a51a
15ba246c39094a
hex5bdc638e907c

101002121220220 has 48 divisors (see below), whose sum is σ = 235179901960416. Its totient is φ = 36125944992000.

The previous prime is 101002121220191. The next prime is 101002121220317. The reversal of 101002121220220 is 22022121200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101002121220194 and 101002121220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3763105851 + ... + 3763132690.

It is an arithmetic number, because the mean of its divisors is an integer number (4899581290842).

Almost surely, 2101002121220220 is an apocalyptic number.

101002121220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002121220220 is an abundant number, since it is smaller than the sum of its proper divisors (134177780740196).

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

101002121220220 is a wasteful number, since it uses less digits than its factorization.

101002121220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526238622 (or 7526238620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101002121220220 its reverse (22022121200101), we get a palindrome (123024242420321).

The spelling of 101002121220220 in words is "one hundred one trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 13420 7526238541 15052477082 30104954164 37631192705 75262385410 82788623951 150524770820 165577247902 331154495804 413943119755 459100551001 827886239510 918201102002 1655772479020 1836402204004 2295502755005 4591005510010 5050106061011 9182011020020 10100212122022 20200424244044 25250530305055 50501060610110 101002121220220