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102021222220 = 22529258710333
BaseRepresentation
bin101111100000011110…
…0000100111101001100
3100202100000221001212221
41133000330010331030
53132414413102340
6114511244505124
710241116036441
oct1370074047514
9322300831787
10102021222220
113a2a3358295
121793284b1a4
13980b4a7618
144d1b6819c8
1529c18e044a
hex17c0f04f4c

102021222220 has 72 divisors (see below), whose sum is σ = 222286572144. Its totient is φ = 39330369792.

The previous prime is 102021222187. The next prime is 102021222221. The reversal of 102021222220 is 22222120201.

It is a junction number, because it is equal to n+sod(n) for n = 102021222194 and 102021222203.

It is not an unprimeable number, because it can be changed into a prime (102021222221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9868174 + ... + 9878506.

It is an arithmetic number, because the mean of its divisors is an integer number (3087313502).

Almost surely, 2102021222220 is an apocalyptic number.

102021222220 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 102021222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111143286072).

102021222220 is an abundant number, since it is smaller than the sum of its proper divisors (120265349924).

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

102021222220 is a wasteful number, since it uses less digits than its factorization.

102021222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102021222220 its reverse (22222120201), we get a palindrome (124243342421).

The spelling of 102021222220 in words is "one hundred two billion, twenty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 587 841 1174 1682 2348 2935 3364 4205 5870 8410 10333 11740 16820 17023 20666 34046 41332 51665 68092 85115 103330 170230 206660 299657 340460 493667 599314 987334 1198628 1498285 1974668 2468335 2996570 4936670 5993140 6065471 8690053 9873340 12130942 17380106 24261884 30327355 34760212 43450265 60654710 86900530 121309420 173801060 175898659 351797318 703594636 879493295 1758986590 3517973180 5101061111 10202122222 20404244444 25505305555 51010611110 102021222220