Search a number
-
+
1002111000220 = 2251111340310177
BaseRepresentation
bin11101001010100100111…
…10000101111010011100
310112210121211122100101101
432211102132011322130
5112404310404001340
62044210300322444
7132254146646431
oct16452236057234
93483554570341
101002111000220
11356aa1597680
12142270b43424
13736637385b5
1436706957b88
151b101c52c9a
hexe952785e9c

1002111000220 has 48 divisors (see below), whose sum is σ = 2316061587168. Its totient is φ = 361179176960.

The previous prime is 1002111000217. The next prime is 1002111000227. The reversal of 1002111000220 is 220001112001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002111000197 and 1002111000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002111000227) 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, 20130229 + ... + 20179948.

It is an arithmetic number, because the mean of its divisors is an integer number (48251283066).

Almost surely, 21002111000220 is an apocalyptic number.

1002111000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002111000220 is an abundant number, since it is smaller than the sum of its proper divisors (1313950586948).

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

1002111000220 is a wasteful number, since it uses less digits than its factorization.

1002111000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40310310 (or 40310308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002111000220 its reverse (220001112001), we get a palindrome (1222112112221).

The spelling of 1002111000220 in words is "one trillion, two billion, one hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 24860 40310177 80620354 161240708 201550885 403101770 443411947 806203540 886823894 1773647788 2217059735 4434119470 4555050001 8868238940 9110100002 18220200004 22775250005 45550500010 50105550011 91101000020 100211100022 200422200044 250527750055 501055500110 1002111000220