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1102011020 = 2251119299091
BaseRepresentation
bin100000110101111…
…0101101010001100
32211210121221220222
41001223311222030
54224103323040
6301203530512
736210640055
oct10153655214
92753557828
101102011020
11516069210
12269089a38
13147406136
14a650372c
1566b31bb5
hex41af5a8c

1102011020 has 96 divisors (see below), whose sum is σ = 2749420800. Its totient is φ = 366508800.

The previous prime is 1102011007. The next prime is 1102011023. The reversal of 1102011020 is 201102011.

It is a junction number, because it is equal to n+sod(n) for n = 1102010989 and 1102011007.

It is not an unprimeable number, because it can be changed into a prime (1102011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116675 + ... + 125765.

It is an arithmetic number, because the mean of its divisors is an integer number (28639800).

Almost surely, 21102011020 is an apocalyptic number.

1102011020 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 1102011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374710400).

1102011020 is an abundant number, since it is smaller than the sum of its proper divisors (1647409780).

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

1102011020 is a wasteful number, since it uses less digits than its factorization.

1102011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1102011020 is about 33196.5513269074. The cubic root of 1102011020 is about 1032.9088039914.

Adding to 1102011020 its reverse (201102011), we get a palindrome (1303113031).

Subtracting from 1102011020 its reverse (201102011), we obtain a palindrome (900909009).

The spelling of 1102011020 in words is "one billion, one hundred two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1276 1595 2090 2204 2755 3190 4180 5510 6061 6380 9091 11020 12122 18182 24244 30305 36364 45455 60610 90910 100001 121220 172729 181820 200002 263639 345458 400004 500005 527278 690916 863645 1000010 1054556 1318195 1727290 1900019 2000020 2636390 2900029 3454580 3800038 5009141 5272780 5800058 7600076 9500095 10018282 11600116 14500145 19000190 20036564 25045705 29000290 38000380 50091410 55100551 58000580 100182820 110201102 220402204 275502755 551005510 1102011020