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10202012220 = 22353717092689
BaseRepresentation
bin10011000000001011…
…00101101000111100
3222022222212220210110
421200011211220330
5131343203342340
64404200310020
7510546446601
oct114005455074
928288786713
1010202012220
114365851864
121b88772310
13c677ca62a
146cad0a6a8
153ea9b3680
hex260165a3c

10202012220 has 96 divisors (see below), whose sum is σ = 29365761600. Its totient is φ = 2644475904.

The previous prime is 10202012203. The next prime is 10202012243. The reversal of 10202012220 is 2221020201.

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 = 10202012196 and 10202012205.

It is a congruent number.

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, 3792636 + ... + 3795324.

It is an arithmetic number, because the mean of its divisors is an integer number (305893350).

Almost surely, 210202012220 is an apocalyptic number.

10202012220 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 10202012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682880800).

10202012220 is an abundant number, since it is smaller than the sum of its proper divisors (19163749380).

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

10202012220 is a wasteful number, since it uses less digits than its factorization.

10202012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4445 counting only the distinct ones).

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

Adding to 10202012220 its reverse (2221020201), we get a palindrome (12423032421).

The spelling of 10202012220 in words is "ten billion, two hundred two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1709 2220 2689 3418 5127 5378 6836 8067 8545 10254 10756 13445 16134 17090 20508 25635 26890 32268 34180 40335 51270 53780 63233 80670 99493 102540 126466 161340 189699 198986 252932 298479 316165 379398 397972 497465 596958 632330 758796 948495 994930 1193916 1264660 1492395 1896990 1989860 2984790 3793980 4595501 5969580 9191002 13786503 18382004 22977505 27573006 45955010 55146012 68932515 91910020 137865030 170033537 275730060 340067074 510100611 680134148 850167685 1020201222 1700335370 2040402444 2550503055 3400670740 5101006110 10202012220