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10001012210220 = 22351674409226379
BaseRepresentation
bin1001000110001000101011…
…0001111011101000101100
31022102002100201212212012210
42101202022301323220230
52302324033111211340
633134222424130420
72051356256111433
oct221421261735054
938362321785183
1010001012210220
113206450737599
12115631a906a10
13577125a7c295
142680a173811a
15125238c37180
hex9188ac7ba2c

10001012210220 has 96 divisors (see below), whose sum is σ = 28177029619200. Its totient is φ = 2650353938944.

The previous prime is 10001012210207. The next prime is 10001012210237. The reversal of 10001012210220 is 2201221010001.

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 = 10001012210196 and 10001012210205.

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, 44064991 + ... + 44291369.

It is an arithmetic number, because the mean of its divisors is an integer number (293510725200).

Almost surely, 210001012210220 is an apocalyptic number.

10001012210220 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 10001012210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088514809600).

10001012210220 is an abundant number, since it is smaller than the sum of its proper divisors (18176017408980).

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

10001012210220 is a wasteful number, since it uses less digits than its factorization.

10001012210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230967 (or 230965 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001012210220 its reverse (2201221010001), we get a palindrome (12202233220221).

The spelling of 10001012210220 in words is "ten trillion, one billion, twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 4409 5010 8818 10020 13227 17636 22045 26454 44090 52908 66135 88180 132270 226379 264540 452758 679137 736303 905516 1131895 1358274 1472606 2208909 2263790 2716548 2945212 3395685 3681515 4417818 4527580 6791370 7363030 8835636 11044545 13582740 14726060 22089090 37805293 44178180 75610586 113415879 151221172 189026465 226831758 378052930 453663516 567079395 756105860 998105011 1134158790 1996210022 2268317580 2994315033 3992420044 4990525055 5988630066 9981050110 11977260132 14971575165 19962100220 29943150330 59886300660 166683536837 333367073674 500050610511 666734147348 833417684185 1000101221022 1666835368370 2000202442044 2500253052555 3333670736740 5000506105110 10001012210220