Search a number
-
+
1103131112320 = 27571241100733
BaseRepresentation
bin10000000011010111101…
…111001111001110000000
310220110101002210202100201
4100003113233033032000
5121033203031043240
62202434344054544
7142461421512616
oct20032757171600
93813332722321
101103131112320
11395920833026
12159964464454
13800426a7663
143b56b27d6b6
151da657e2d9a
hex100d7bcf380

1103131112320 has 128 divisors (see below), whose sum is σ = 2685439500480. Its totient is φ = 433228185600.

The previous prime is 1103131112299. The next prime is 1103131112333. The reversal of 1103131112320 is 232111313011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10900674 + ... + 11001406.

Almost surely, 21103131112320 is an apocalyptic number.

1103131112320 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 1103131112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342719750240).

1103131112320 is an abundant number, since it is smaller than the sum of its proper divisors (1582308388160).

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

1103131112320 is a wasteful number, since it uses less digits than its factorization.

1103131112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101064 (or 101052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1103131112320 its reverse (232111313011), we get a palindrome (1335242425331).

The spelling of 1103131112320 in words is "one trillion, one hundred three billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 241 284 320 355 482 568 640 710 964 1136 1205 1420 1928 2272 2410 2840 3856 4544 4820 5680 7712 9088 9640 11360 15424 17111 19280 22720 30848 34222 38560 45440 68444 77120 85555 100733 136888 154240 171110 201466 273776 342220 402932 503665 547552 684440 805864 1007330 1095104 1368880 1611728 2014660 2190208 2737760 3223456 4029320 5475520 6446912 7152043 8058640 10951040 12893824 14304086 16117280 24276653 28608172 32234560 35760215 48553306 57216344 64469120 71520430 97106612 114432688 121383265 143040860 194213224 228865376 242766530 286081720 388426448 457730752 485533060 572163440 776852896 915461504 971066120 1144326880 1553705792 1723642363 1942132240 2288653760 3107411584 3447284726 3884264480 4577307520 6894569452 7768528960 8618211815 13789138904 15537057920 17236423630 27578277808 34472847260 55156555616 68945694520 110313111232 137891389040 220626222464 275782778080 551565556160 1103131112320