Search a number
-
+
1103102132320 = 25510369179677
BaseRepresentation
bin10000000011010110000…
…000101100000001100000
310220110022002021102021101
4100003112000230001200
5121033123121213240
62202431431004144
7142460620263046
oct20032600540140
93813262242241
101103102132320
11395906439a11
12159956809654
138003969ba26
143b567498396
151da62ebb39a
hex100d602c060

1103102132320 has 96 divisors (see below), whose sum is σ = 2632032906048. Its totient is φ = 436848642048.

The previous prime is 1103102132303. The next prime is 1103102132329. The reversal of 1103102132320 is 232312013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103102132329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113987322 + ... + 113996998.

It is an arithmetic number, because the mean of its divisors is an integer number (27417009438).

Almost surely, 21103102132320 is an apocalyptic number.

1103102132320 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 1103102132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316016453024).

1103102132320 is an abundant number, since it is smaller than the sum of its proper divisors (1528930773728).

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

1103102132320 is a wasteful number, since it uses less digits than its factorization.

1103102132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712 (or 16704 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1103102132320 its reverse (232312013011), we get a palindrome (1335414145331).

The spelling of 1103102132320 in words is "one trillion, one hundred three billion, one hundred two million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 6917 8240 9677 13834 16480 19354 27668 34585 38708 48385 55336 69170 77416 96770 110672 138340 154832 193540 221344 276680 309664 387080 553360 712451 774160 996731 1106720 1424902 1548320 1993462 2849804 3562255 3986924 4983655 5699608 7124510 7973848 9967310 11399216 14249020 15947696 19934620 22798432 28498040 31895392 39869240 56996080 66935809 79738480 113992160 133871618 159476960 267743236 334679045 535486472 669358090 1070972944 1338716180 2141945888 2677432360 5354864720 6894388327 10709729440 13788776654 27577553308 34471941635 55155106616 68943883270 110310213232 137887766540 220620426464 275775533080 551551066160 1103102132320