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101013244420 = 22511991463321
BaseRepresentation
bin101111000010011011…
…0111100101000000100
3100122201210020111021211
41132010312330220010
53123333342310140
6114223240221204
710204126260604
oct1360466745004
9318653214254
10101013244420
1139926385690
12176b116a804
1396aa70615a
144c63858c04
1529631852ea
hex1784dbca04

101013244420 has 48 divisors (see below), whose sum is σ = 231646173696. Its totient is φ = 36694944000.

The previous prime is 101013244369. The next prime is 101013244427. The reversal of 101013244420 is 24442310101.

It is a happy number.

It is a super-2 number, since 2×1010132444202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101013244391 and 101013244400.

It is not an unprimeable number, because it can be changed into a prime (101013244427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13641 + ... + 449680.

It is an arithmetic number, because the mean of its divisors is an integer number (4825961952).

Almost surely, 2101013244420 is an apocalyptic number.

101013244420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013244420 is an abundant number, since it is smaller than the sum of its proper divisors (130632929276).

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

101013244420 is a wasteful number, since it uses less digits than its factorization.

101013244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464332 (or 464330 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101013244420 its reverse (24442310101), we get a palindrome (125455554521).

The spelling of 101013244420 in words is "one hundred one billion, thirteen million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 991 1982 3964 4955 9910 10901 19820 21802 43604 54505 109010 218020 463321 926642 1853284 2316605 4633210 5096531 9266420 10193062 20386124 25482655 50965310 101930620 459151111 918302222 1836604444 2295755555 4591511110 5050662221 9183022220 10101324442 20202648884 25253311105 50506622210 101013244420