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1100202011020 = 225729503538739
BaseRepresentation
bin10000000000101001001…
…001100110100110001100
310220011210222011222202101
4100000221021212212030
5121011203203323040
62201231551204444
7142326013535650
oct20005111464614
93804728158671
101100202011020
11394658397952
12159287516724
137c9968b7a18
143b370250a60
151d9435a609a
hex1002926698c

1100202011020 has 96 divisors (see below), whose sum is σ = 2736971596800. Its totient is φ = 363480063744.

The previous prime is 1100202010961. The next prime is 1100202011071. The reversal of 1100202011020 is 201102020011.

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 = 1100202010988 and 1100202011006.

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, 1772811 + ... + 2311549.

It is an arithmetic number, because the mean of its divisors is an integer number (28510120800).

Almost surely, 21100202011020 is an apocalyptic number.

1100202011020 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 1100202011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368485798400).

1100202011020 is an abundant number, since it is smaller than the sum of its proper divisors (1636769585780).

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

1100202011020 is a wasteful number, since it uses less digits than its factorization.

1100202011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539287 (or 539285 counting only the distinct ones).

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

Adding to 1100202011020 its reverse (201102020011), we get a palindrome (1301304031031).

The spelling of 1100202011020 in words is "one trillion, one hundred billion, two hundred two million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 503 580 812 1006 1015 2012 2030 2515 3521 4060 5030 7042 10060 14084 14587 17605 29174 35210 58348 70420 72935 102109 145870 204218 291740 408436 510545 538739 1021090 1077478 2042180 2154956 2693695 3771173 5387390 7542346 10774780 15084692 15623431 18855865 31246862 37711730 62493724 75423460 78117155 109364017 156234310 218728034 270985717 312468620 437456068 541971434 546820085 1083942868 1093640170 1354928585 1896900019 2187280340 2709857170 3793800038 5419714340 7587600076 7858585793 9484500095 15717171586 18969000190 31434343172 37938000380 39292928965 55010100551 78585857930 110020201102 157171715860 220040402204 275050502755 550101005510 1100202011020