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102200110220 = 225132149202931
BaseRepresentation
bin101111100101110011…
…0011110110010001100
3100202210111112112002102
41133023212132302030
53133301212011340
6114541115014232
710245420414005
oct1371346366214
9322714475072
10102200110220
113a38533050a
121798273a378
13983957c300
144d3732a1ac
1529d2479215
hex17cb99ec8c

102200110220 has 72 divisors (see below), whose sum is σ = 233960302800. Its totient is φ = 37481982720.

The previous prime is 102200110171. The next prime is 102200110231. The reversal of 102200110220 is 22011002201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402155 + ... + 605085.

It is an arithmetic number, because the mean of its divisors is an integer number (3249448650).

Almost surely, 2102200110220 is an apocalyptic number.

102200110220 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 102200110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116980151400).

102200110220 is an abundant number, since it is smaller than the sum of its proper divisors (131760192580).

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

102200110220 is a wasteful number, since it uses less digits than its factorization.

102200110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203115 (or 203100 counting only the distinct ones).

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

Adding to 102200110220 its reverse (22011002201), we get a palindrome (124211112421).

The spelling of 102200110220 in words is "one hundred two billion, two hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 169 260 298 338 596 676 745 845 1490 1690 1937 2980 3380 3874 7748 9685 19370 25181 38740 50362 100724 125905 202931 251810 405862 503620 811724 1014655 2029310 2638103 4058620 5276206 10552412 13190515 26381030 30236719 34295339 52762060 60473438 68590678 120946876 137181356 151183595 171476695 302367190 342953390 393077347 604734380 685906780 786154694 1572309388 1965386735 3930773470 5110005511 7861546940 10220011022 20440022044 25550027555 51100055110 102200110220