Search a number
-
+
101010022011 = 32833073371307
BaseRepresentation
bin101111000010010101…
…0101001111001111011
3100122201120011202222100
41132010222221321323
53123332031201021
6114223043154443
710204060010043
oct1360452517173
9318646152870
10101010022011
1139924584638
12176b0075a23
1396a9b484c2
144c6325a723
152962c4a626
hex1784aa9e7b

101010022011 has 48 divisors (see below), whose sum is σ = 148695490944. Its totient is φ = 66064626432.

The previous prime is 101010022007. The next prime is 101010022027. The reversal of 101010022011 is 110220010101.

It is a happy number.

It is not a de Polignac number, because 101010022011 - 22 = 101010022007 is a prime.

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 = 101010021984 and 101010022002.

It is not an unprimeable number, because it can be changed into a prime (101010022111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77283220 + ... + 77284526.

It is an arithmetic number, because the mean of its divisors is an integer number (3097822728).

Almost surely, 2101010022011 is an apocalyptic number.

101010022011 is a deficient number, since it is larger than the sum of its proper divisors (47685468933).

101010022011 is a wasteful number, since it uses less digits than its factorization.

101010022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2037 counting only the distinct ones).

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

Adding to 101010022011 its reverse (110220010101), we get a palindrome (211230032112).

The spelling of 101010022011 in words is "one hundred one billion, ten million, twenty-two thousand, eleven".

Divisors: 1 3 9 83 249 307 337 747 921 1011 1307 2763 3033 3921 11763 25481 27971 76443 83913 103459 108481 229329 251739 310377 325443 401249 440459 931131 976329 1203747 1321377 3611241 3964131 8587097 25761291 33303667 36558097 77283873 99911001 109674291 135220913 299733003 329022873 405662739 1216988217 11223335779 33670007337 101010022011