Search a number
-
+
101001002022 = 232231931264061
BaseRepresentation
bin101111000010000100…
…0001111110000100110
3100122200221012111212200
41132010020033300212
53123322224031042
6114222121555330
710203620231514
oct1360410176046
9318627174780
10101001002022
113991a4837a8
12176a9045b46
1396a800aa2b
144c61d8d4b4
152962067c4c
hex178420fc26

101001002022 has 48 divisors (see below), whose sum is σ = 229533434208. Its totient is φ = 32036336640.

The previous prime is 101001001939. The next prime is 101001002027. The reversal of 101001002022 is 220200100101.

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 = 101001001995 and 101001002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001002027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552129 + ... + 711932.

It is an arithmetic number, because the mean of its divisors is an integer number (4781946546).

Almost surely, 2101001002022 is an apocalyptic number.

101001002022 is an abundant number, since it is smaller than the sum of its proper divisors (128532432186).

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

101001002022 is a wasteful number, since it uses less digits than its factorization.

101001002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264285 (or 1264282 counting only the distinct ones).

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

Adding to 101001002022 its reverse (220200100101), we get a palindrome (321201102123).

The spelling of 101001002022 in words is "one hundred one billion, one million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 193 207 386 414 579 1158 1737 3474 4439 8878 13317 26634 39951 79902 1264061 2528122 3792183 7584366 11376549 22753098 29073403 58146806 87220209 174440418 243963773 261660627 487927546 523321254 731891319 1463782638 2195673957 4391347914 5611166779 11222333558 16833500337 33667000674 50500501011 101001002022