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103233047401 = 112292092
BaseRepresentation
bin110000000100100101…
…0110100101101101001
3100212110111012011112001
41200021022310231221
53142410130004101
6115231414251001
710313132265451
oct1401112645551
9325414164461
10103233047401
113a865400500
1218010656a61
13997257c343
144dd45acd61
152a42eb4901
hex18092b4b69

103233047401 has 9 divisors (see below), whose sum is σ = 113474920503. Its totient is φ = 93845011920.

The previous prime is 103233047387. The next prime is 103233047479. The reversal of 103233047401 is 104740332301.

The square root of 103233047401 is 321299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42952977001 + 60280070400 = 207251^2 + 245520^2 .

It is a de Polignac number, because none of the positive numbers 2k-103233047401 is a prime.

It is a super-2 number, since 2×1032330474012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103233047401.

It is not an unprimeable number, because it can be changed into a prime (103233047101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3519685 + ... + 3548893.

Almost surely, 2103233047401 is an apocalyptic number.

103233047401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103233047401 is the 321299-th square number.

103233047401 is the 160650-th centered octagonal number.

It is an amenable number.

103233047401 is a deficient number, since it is larger than the sum of its proper divisors (10241873102).

103233047401 is an frugal number, since it uses more digits than its factorization.

103233047401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58440 (or 29220 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 103233047401 its reverse (104740332301), we get a palindrome (207973379702).

The spelling of 103233047401 in words is "one hundred three billion, two hundred thirty-three million, forty-seven thousand, four hundred one".

Divisors: 1 11 121 29209 321299 3534289 853165681 9384822491 103233047401