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1103131953 = 34721122297
BaseRepresentation
bin100000111000000…
…0111010100110001
32211212201220120000
41001300013110301
54224400210303
6301243540213
736223316100
oct10160072461
92755656500
101103131953
11516764400
1226952a669
13147709401
14a6716037
1566ca3da3
hex41c07531

1103131953 has 90 divisors (see below), whose sum is σ = 2107957698. Its totient is φ = 572806080.

The previous prime is 1103131927. The next prime is 1103131973. The reversal of 1103131953 is 3591313011.

It can be written as a sum of positive squares in only one way, i.e., 929762064 + 173369889 = 30492^2 + 13167^2 .

It is not a de Polignac number, because 1103131953 - 217 = 1103000881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1103131973) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 479101 + ... + 481397.

Almost surely, 21103131953 is an apocalyptic number.

It is an amenable number.

1103131953 is a deficient number, since it is larger than the sum of its proper divisors (1004825745).

1103131953 is a wasteful number, since it uses less digits than its factorization.

1103131953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 1103131953 is about 33213.4303106439. The cubic root of 1103131953 is about 1033.2589000727.

Adding to 1103131953 its reverse (3591313011), we get a palindrome (4694444964).

The spelling of 1103131953 in words is "one billion, one hundred three million, one hundred thirty-one thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 297 363 441 539 567 693 847 891 1089 1323 1617 2079 2297 2541 3267 3969 4851 5929 6237 6891 7623 9801 14553 16079 17787 20673 22869 25267 43659 48237 53361 62019 68607 75801 112553 144711 160083 176869 186057 227403 277937 337659 434133 480249 530607 682209 833811 1012977 1238083 1302399 1591821 1945559 2046627 2501433 3038931 3714249 4775463 5836677 7504299 9116793 11142747 13618913 14326389 17510031 22512897 33428241 40856739 52530093 100284723 122570217 157590279 367710651 1103131953