Search a number
-
+
101011220212002 = 231926312637266603
BaseRepresentation
bin10110111101111010000001…
…111001100010100100100010
3111020122120121121112210002020
4112331322001321202210202
5101214431434333241002
6554455525225202310
730163551126132522
oct2675720171424442
9436576547483066
10101011220212002
112a2046884a8451
12b3b4799330396
134449417b4c189
141ad2d7d48d682
15ba28010c32bc
hex5bde81e62922

101011220212002 has 64 divisors (see below), whose sum is σ = 213481468062720. Its totient is φ = 31774360048704.

The previous prime is 101011220211991. The next prime is 101011220212039. The reversal of 101011220212002 is 200212022110101.

It is a super-2 number, since 2×1010112202120022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378749233 + ... + 379015835.

It is an arithmetic number, because the mean of its divisors is an integer number (3335647938480).

Almost surely, 2101011220212002 is an apocalyptic number.

101011220212002 is an abundant number, since it is smaller than the sum of its proper divisors (112470247850718).

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

101011220212002 is a wasteful number, since it uses less digits than its factorization.

101011220212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279527.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101011220212002 its reverse (200212022110101), we get a palindrome (301223242322103).

The spelling of 101011220212002 in words is "one hundred one trillion, eleven billion, two hundred twenty million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 19 38 57 114 263 526 789 1578 4997 9994 12637 14991 25274 29982 37911 75822 240103 266603 480206 533206 720309 799809 1440618 1599618 3323531 5065457 6647062 9970593 10130914 15196371 19941186 30392742 63147089 70116589 126294178 140233178 189441267 210349767 378882534 420699534 1332215191 2664430382 3369062111 3996645573 6738124222 7993291146 10107186333 20214372666 64012180109 128024360218 192036540327 384073080654 886063335193 1772126670386 2658190005579 5316380011158 16835203368667 33670406737334 50505610106001 101011220212002