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102010220220 = 223510925162143
BaseRepresentation
bin101111100000001001…
…0000110111010111100
3100202022021020002222110
41133000102012322330
53132404104021340
6114510213014020
710240623364566
oct1370022067274
9322267202873
10102010220220
113a298123327
121792b024310
13980912496c
144d1a01a336
1529c096a680
hex17c0486ebc

102010220220 has 96 divisors (see below), whose sum is σ = 289402122240. Its totient is φ = 26845344000.

The previous prime is 102010220209. The next prime is 102010220227. The reversal of 102010220220 is 22022010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102010220196 and 102010220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010220227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610469 + ... + 1672611.

It is an arithmetic number, because the mean of its divisors is an integer number (3014605440).

Almost surely, 2102010220220 is an apocalyptic number.

102010220220 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 102010220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144701061120).

102010220220 is an abundant number, since it is smaller than the sum of its proper divisors (187391902020).

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

102010220220 is a wasteful number, since it uses less digits than its factorization.

102010220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62515 (or 62513 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102010220220 its reverse (22022010201), we get a palindrome (124032230421).

The spelling of 102010220220 in words is "one hundred two billion, ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 251 327 436 502 545 654 753 1004 1090 1255 1308 1506 1635 2180 2510 3012 3270 3765 5020 6540 7530 15060 27359 54718 62143 82077 109436 124286 136795 164154 186429 248572 273590 310715 328308 372858 410385 547180 621430 745716 820770 932145 1242860 1641540 1864290 3728580 6773587 13547174 15597893 20320761 27094348 31195786 33867935 40641522 46793679 62391572 67735870 77989465 81283044 93587358 101603805 135471740 155978930 187174716 203207610 233968395 311957860 406415220 467936790 935873580 1700170337 3400340674 5100511011 6800681348 8500851685 10201022022 17001703370 20402044044 25502555055 34003406740 51005110110 102010220220