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1103150113040 = 245173721922697
BaseRepresentation
bin10000000011011000110…
…111101110000100010000
310220110102102120002110002
4100003120313232010100
5121033222412104130
62202440303225132
7142462042150403
oct20033067560420
93813372502402
101103150113040
113959305305a8
1215996a8a81a8
13800465caca1
143b56d9c7d3a
151da672e7b45
hex100d8dee110

1103150113040 has 80 divisors (see below), whose sum is σ = 2789093330352. Its totient is φ = 404079132672.

The previous prime is 1103150113033. The next prime is 1103150113049. The reversal of 1103150113040 is 403110513011.

It can be written as a sum of positive squares in 8 ways, for example, as 5650829584 + 1097499283456 = 75172^2 + 1047616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1103150113049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10911029 + ... + 11011668.

Almost surely, 21103150113040 is an apocalyptic number.

1103150113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103150113040 is an abundant number, since it is smaller than the sum of its proper divisors (1685943217312).

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

1103150113040 is a wasteful number, since it uses less digits than its factorization.

1103150113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21922764 (or 21922758 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 1103150113040 its reverse (403110513011), we get a palindrome (1506260626051).

The spelling of 1103150113040 in words is "one trillion, one hundred three billion, one hundred fifty million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 296 340 370 592 629 680 740 1258 1360 1480 2516 2960 3145 5032 6290 10064 12580 25160 50320 21922697 43845394 87690788 109613485 175381576 219226970 350763152 372685849 438453940 745371698 811139789 876907880 1490743396 1622279578 1753815760 1863429245 2981486792 3244559156 3726858490 4055698945 5962973584 6489118312 7453716980 8111397890 12978236624 13789376413 14907433960 16222795780 27578752826 29814867920 32445591560 55157505652 64891183120 68946882065 110315011304 137893764130 220630022608 275787528260 551575056520 1103150113040