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102220012110220 = 225196311523279913
BaseRepresentation
bin10111001111011111110011…
…100000101100000110001100
3111101221010201101202121002121
4113033133303200230012030
5101344233041100011340
61001223120354502324
730350103122550064
oct2717376340540614
9441833641677077
10102220012110220
112a630299a69824
12b56ab0b2949a4
1345063c8a54304
141b356914dc3a4
15bc3e9ca8094a
hex5cf7f382c18c

102220012110220 has 96 divisors (see below), whose sum is σ = 226467534343680. Its totient is φ = 38649084526080.

The previous prime is 102220012110193. The next prime is 102220012110299. The reversal of 102220012110220 is 22011210022201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102220012110194 and 102220012110203.

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, 365044984 + ... + 365324896.

It is an arithmetic number, because the mean of its divisors is an integer number (2359036816080).

Almost surely, 2102220012110220 is an apocalyptic number.

102220012110220 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 102220012110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113233767171840).

102220012110220 is an abundant number, since it is smaller than the sum of its proper divisors (124247522233460).

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

102220012110220 is a wasteful number, since it uses less digits than its factorization.

102220012110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282095 (or 282093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102220012110220 its reverse (22011210022201), we get a palindrome (124231222132421).

The spelling of 102220012110220 in words is "one hundred two trillion, two hundred twenty billion, twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 631 1262 1523 2524 3046 3155 6092 6310 7615 11989 12620 15230 23978 28937 30460 47956 57874 59945 115748 119890 144685 239780 279913 289370 559826 578740 961013 1119652 1399565 1922026 2799130 3844052 4805065 5318347 5598260 9610130 10636694 18259247 19220260 21273388 26591735 36518494 53183470 73036988 91296235 106366940 176625103 182592470 353250206 365184940 426307499 706500412 852614998 883125515 1705229996 1766251030 2131537495 3355876957 3532502060 4263074990 6711753914 8099842481 8526149980 13423507828 16199684962 16779384785 32399369924 33558769570 40499212405 67117539140 80998424810 161996849620 269000031869 538000063738 1076000127476 1345000159345 2690000318690 5111000605511 5380000637380 10222001211022 20444002422044 25555003027555 51110006055110 102220012110220