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101001120220 = 225711135045011
BaseRepresentation
bin101111000010000100…
…0101100100111011100
3100122200221102112000101
41132010020230213130
53123322241321340
6114222124310444
710203621233230
oct1360410544734
9318627375011
10101001120220
113991a554590
12176a90a2424
1396a804c780
144c61dc05c0
15296208cc9a
hex178422c9dc

101001120220 has 96 divisors (see below), whose sum is σ = 284780837376. Its totient is φ = 29059257600.

The previous prime is 101001120211. The next prime is 101001120251. The reversal of 101001120220 is 22021100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101001120197 and 101001120206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502486 + ... + 2542525.

It is an arithmetic number, because the mean of its divisors is an integer number (2966467056).

Almost surely, 2101001120220 is an apocalyptic number.

101001120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001120220 is an abundant number, since it is smaller than the sum of its proper divisors (183779717156).

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

101001120220 is a wasteful number, since it uses less digits than its factorization.

101001120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045051 (or 5045049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001120220 its reverse (22021100101), we get a palindrome (123022220321).

The spelling of 101001120220 in words is "one hundred one billion, one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5045011 10090022 20180044 25225055 35315077 50450110 55495121 65585143 70630154 100900220 110990242 131170286 141260308 176575385 221980484 262340572 277475605 327925715 353150770 388465847 459096001 554951210 655851430 706301540 721436573 776931694 918192002 1109902420 1311702860 1442873146 1553863388 1836384004 1942329235 2295480005 2885746292 3607182865 3884658470 4590960010 5050056011 7214365730 7769316940 9181920020 10100112022 14428731460 20200224044 25250280055 50500560110 101001120220