Search a number
-
+
101011201012220 = 225171971508080039
BaseRepresentation
bin10110111101111010000000…
…110000010011000111111100
3111020122120120021102022221012
4112331322000300103013330
5101214431414424342340
6554455523301454352
730163550504005502
oct2675720060230774
9436576507368835
10101011201012220
112a204678684364
12b3b4792a113b8
134449413b89065
141ad2d7aad2672
15ba27ee57e565
hex5bde80c131fc

101011201012220 has 48 divisors (see below), whose sum is σ = 225741485027520. Its totient is φ = 37834711993344.

The previous prime is 101011201012147. The next prime is 101011201012223. The reversal of 101011201012220 is 22210102110101.

It is a super-2 number, since 2×1010112010122202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011201012195 and 101011201012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011201012223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753973040 + ... + 754106999.

It is an arithmetic number, because the mean of its divisors is an integer number (4702947604740).

Almost surely, 2101011201012220 is an apocalyptic number.

101011201012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011201012220 is an abundant number, since it is smaller than the sum of its proper divisors (124730284015300).

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

101011201012220 is a wasteful number, since it uses less digits than its factorization.

101011201012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508080262 (or 1508080260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011201012220 its reverse (22210102110101), we get a palindrome (123221303122321).

The spelling of 101011201012220 in words is "one hundred one trillion, eleven billion, two hundred one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1970 3349 3940 6698 13396 16745 33490 66980 1508080039 3016160078 6032320156 7540400195 15080800390 25637360663 30161600780 51274721326 102549442652 128186803315 256373606630 297091767683 512747213260 594183535366 1188367070732 1485458838415 2970917676830 5050560050611 5941835353660 10101120101222 20202240202444 25252800253055 50505600506110 101011201012220