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1100011220020 = 2252961223139423
BaseRepresentation
bin10000000000011101110…
…001110010110000110100
310220011022200011210201001
4100000131301302300310
5121010310333020040
62201201014013044
7142321206044656
oct20003561626064
93804280153631
101100011220020
1139456a724839
12159233647184
137c96620623b
143b352b886d6
151d93196a59a
hex1001dc72c34

1100011220020 has 96 divisors (see below), whose sum is σ = 2439763845120. Its totient is φ = 415990632960.

The previous prime is 1100011219999. The next prime is 1100011220039. The reversal of 1100011220020 is 200221100011.

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 = 1100011219979 and 1100011220006.

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, 7820029 + ... + 7959451.

It is an arithmetic number, because the mean of its divisors is an integer number (25414206720).

Almost surely, 21100011220020 is an apocalyptic number.

1100011220020 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 1100011220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219881922560).

1100011220020 is an abundant number, since it is smaller than the sum of its proper divisors (1339752625100).

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

1100011220020 is a wasteful number, since it uses less digits than its factorization.

1100011220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139745 (or 139743 counting only the distinct ones).

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

Adding to 1100011220020 its reverse (200221100011), we get a palindrome (1300232320031).

The spelling of 1100011220020 in words is "one trillion, one hundred billion, eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 223 244 290 305 446 580 610 892 1115 1220 1769 2230 3538 4460 6467 7076 8845 12934 13603 17690 25868 27206 32335 35380 54412 64670 68015 129340 136030 139423 272060 278846 394487 557692 697115 788974 1394230 1577948 1972435 2788460 3944870 4043267 7889740 8086534 8504803 16173068 17009606 20216335 31091329 34019212 40432670 42524015 62182658 80865340 85048030 124365316 155456645 170096060 246639287 310913290 493278574 621826580 901648541 986557148 1233196435 1803297082 1896571069 2466392870 3606594164 3793142138 4508242705 4932785740 7586284276 9016485410 9482855345 18032970820 18965710690 37931421380 55000561001 110001122002 220002244004 275002805005 550005610010 1100011220020