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1103020131120 = 243519728018329
BaseRepresentation
bin10000000011010001000…
…111111000001100110000
310220110002100222022202220
4100003101013320030300
5121032441123143440
62202415341241040
7142455603263355
oct20032107701460
93813070868686
101103020131120
11395874121226
12159933263180
13800256ba7cb
143b55a63062c
151da5abbe8d0
hex100d11f8330

1103020131120 has 160 divisors (see below), whose sum is σ = 3438359305920. Its totient is φ = 292506009600.

The previous prime is 1103020131119. The next prime is 1103020131179. The reversal of 1103020131120 is 211310203011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1103020131120.

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, 132427116 + ... + 132435444.

It is an arithmetic number, because the mean of its divisors is an integer number (21489745662).

Almost surely, 21103020131120 is an apocalyptic number.

1103020131120 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 1103020131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719179652960).

1103020131120 is an abundant number, since it is smaller than the sum of its proper divisors (2335339174800).

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

1103020131120 is a wasteful number, since it uses less digits than its factorization.

1103020131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1103020131120 its reverse (211310203011), we get a palindrome (1314330334131).

The spelling of 1103020131120 in words is "one trillion, one hundred three billion, twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2364 2801 2955 3152 3940 4728 5602 5910 7880 8329 8403 9456 11204 11820 14005 15760 16658 16806 22408 23640 24987 28010 33316 33612 41645 42015 44816 47280 49974 56020 66632 67224 83290 84030 99948 112040 124935 133264 134448 166580 168060 199896 224080 249870 333160 336120 399792 499740 551797 666320 672240 999480 1103594 1640813 1655391 1998960 2207188 2758985 3281626 3310782 4414376 4922439 5517970 6563252 6621564 8204065 8276955 8828752 9844878 11035940 13126504 13243128 16408130 16553910 19689756 22071880 23329529 24612195 26253008 26486256 32816260 33107820 39379512 44143760 46659058 49224390 65632520 66215640 69988587 78759024 93318116 98448780 116647645 131265040 132431280 139977174 186636232 196897560 233295290 279954348 349942935 373272464 393795120 466590580 559908696 699885870 933181160 1119817392 1399771740 1866362320 2799543480 4595917213 5599086960 9191834426 13787751639 18383668852 22979586065 27575503278 36767337704 45959172130 55151006556 68938758195 73534675408 91918344260 110302013112 137877516390 183836688520 220604026224 275755032780 367673377040 551510065560 1103020131120