Search a number
-
+
102211200020 = 22510778760689
BaseRepresentation
bin101111100110001000…
…0110010010000010100
3100202211021101221102202
41133030100302100110
53133312031400040
6114542152424032
710245613602536
oct1371420622024
9322737357382
10102211200020
113a390615436
12179863a8018
13983b962c17
144d389b5856
1529d341a015
hex17cc432414

102211200020 has 48 divisors (see below), whose sum is σ = 216928393920. Its totient is φ = 40450251264.

The previous prime is 102211200011. The next prime is 102211200029. The reversal of 102211200020 is 20002112201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102211200011) and next prime (102211200029).

It is a junction number, because it is equal to n+sod(n) for n = 102211199974 and 102211200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211200029) 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, 1653836 + ... + 1714524.

It is an arithmetic number, because the mean of its divisors is an integer number (4519341540).

Almost surely, 2102211200020 is an apocalyptic number.

102211200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211200020 is an abundant number, since it is smaller than the sum of its proper divisors (114717193900).

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

102211200020 is a wasteful number, since it uses less digits than its factorization.

102211200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61592 (or 61590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102211200020 its reverse (20002112201), we get a palindrome (122213312221).

The spelling of 102211200020 in words is "one hundred two billion, two hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 787 1070 1574 2140 3148 3935 7870 15740 60689 84209 121378 168418 242756 303445 336836 421045 606890 842090 1213780 1684180 6493723 12987446 25974892 32468615 47762243 64937230 95524486 129874460 191048972 238811215 477622430 955244860 5110560001 10221120002 20442240004 25552800005 51105600010 102211200020