Search a number
-
+
102220110020 = 225729202712421
BaseRepresentation
bin101111100110011001…
…0110001100011000100
3100202211220011121122202
41133030302301203010
53133321322010040
6114543111414032
710246052412320
oct1371462614304
9322756147582
10102220110020
113a395650676
1217989384318
139840762602
144d39c54980
1529d40ca015
hex17cccb18c4

102220110020 has 96 divisors (see below), whose sum is σ = 253933505280. Its totient is φ = 33818964480.

The previous prime is 102220110019. The next prime is 102220110037. The reversal of 102220110020 is 20011022201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102220109983 and 102220110010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8223410 + ... + 8235830.

It is an arithmetic number, because the mean of its divisors is an integer number (2645140680).

Almost surely, 2102220110020 is an apocalyptic number.

102220110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126966752640).

102220110020 is an abundant number, since it is smaller than the sum of its proper divisors (151713395260).

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

102220110020 is a wasteful number, since it uses less digits than its factorization.

102220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14493 (or 14491 counting only the distinct ones).

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

Adding to 102220110020 its reverse (20011022201), we get a palindrome (122231132221).

The spelling of 102220110020 in words is "one hundred two billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2027 2030 4054 4060 8108 10135 12421 14189 20270 24842 28378 40540 49684 56756 58783 62105 70945 86947 117566 124210 141890 173894 235132 248420 283780 293915 347788 360209 411481 434735 587830 720418 822962 869470 1175660 1440836 1645924 1738940 1801045 2057405 2521463 3602090 4114810 5042926 7204180 8229620 10085852 12607315 25177367 25214630 50354734 50429260 100709468 125886835 176241569 251773670 352483138 503547340 704966276 730143643 881207845 1460287286 1762415690 2920574572 3524831380 3650718215 5111005501 7301436430 10222011002 14602872860 20444022004 25555027505 51110055010 102220110020