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1105520020 = 2251129241719
BaseRepresentation
bin100000111100100…
…1110010110010100
32212001020020100221
41001321032112110
54231003120040
6301411044124
736252523303
oct10171162624
92761206327
101105520020
11518045610
1226a2a0644
13148064377
14a6b7843a
15670c674a
hex41e4e594

1105520020 has 96 divisors (see below), whose sum is σ = 2634508800. Its totient is φ = 385996800.

The previous prime is 1105520011. The next prime is 1105520051. The reversal of 1105520020 is 200255011.

It is a junction number, because it is equal to n+sod(n) for n = 1105519976 and 1105520003.

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, 1537221 + ... + 1537939.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 21105520020 is an apocalyptic number.

1105520020 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 1105520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317254400).

1105520020 is an abundant number, since it is smaller than the sum of its proper divisors (1528988780).

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

1105520020 is a wasteful number, since it uses less digits than its factorization.

1105520020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1105520020 is about 33249.3611968711. The cubic root of 1105520020 is about 1034.0039644827.

Adding to 1105520020 its reverse (200255011), we get a palindrome (1305775031).

It can be divided in two parts, 1105 and 520020, that added together give a palindrome (521125).

The spelling of 1105520020 in words is "one billion, one hundred five million, five hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 241 290 319 482 580 638 719 964 1205 1276 1438 1595 2410 2651 2876 3190 3595 4820 5302 6380 6989 7190 7909 10604 13255 13978 14380 15818 20851 26510 27956 31636 34945 39545 41702 53020 69890 76879 79090 83404 104255 139780 153758 158180 173279 208510 229361 307516 346558 384395 417020 458722 693116 768790 866395 917444 1146805 1537580 1732790 1906069 2293610 3465580 3812138 4587220 5025091 7624276 9530345 10050182 19060690 20100364 25125455 38121380 50250910 55276001 100501820 110552002 221104004 276380005 552760010 1105520020