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11000102011020 = 22325101596015521
BaseRepresentation
bin1010000000010010100100…
…1011000100000010001100
31102221121012000121101010100
42200010221023010002030
52420211202103323040
635221213242011100
72213505532232463
oct240045113040214
942847160541110
1011000102011020
1135611318a4341
121297a87aa6a90
1361a3c75bccc5
142a059cd2b9da
15141210609b30
hexa01292c408c

11000102011020 has 72 divisors (see below), whose sum is σ = 33370266121920. Its totient is φ = 2933071303680.

The previous prime is 11000102011007. The next prime is 11000102011081. The reversal of 11000102011020 is 2011020100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000102010993 and 11000102011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179141 + ... + 4836380.

It is an arithmetic number, because the mean of its divisors is an integer number (463475918360).

Almost surely, 211000102011020 is an apocalyptic number.

11000102011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000102011020 is an abundant number, since it is smaller than the sum of its proper divisors (22370164110900).

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

11000102011020 is a wasteful number, since it uses less digits than its factorization.

11000102011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025695 (or 6025690 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000102011020 its reverse (2011020100011), we get a palindrome (13011122111031).

The spelling of 11000102011020 in words is "eleven trillion, one hundred two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10159 20318 30477 40636 50795 60954 91431 101590 121908 152385 182862 203180 304770 365724 457155 609540 914310 1828620 6015521 12031042 18046563 24062084 30077605 36093126 54139689 60155210 72186252 90232815 108279378 120310420 180465630 216558756 270698445 360931260 541396890 1082793780 61111677839 122223355678 183335033517 244446711356 305558389195 366670067034 550005100551 611116778390 733340134068 916675167585 1100010201102 1222233556780 1833350335170 2200020402204 2750025502755 3666700670340 5500051005510 11000102011020