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135020237401 = 7474992
BaseRepresentation
bin111110110111111010…
…1010101001001011001
3110220111210101201200101
41331233311111021121
54203010140044101
6142005532135401
712516633040000
oct1755765251131
9426453351611
10135020237401
1152297449865
1222202007561
13c969c9a8ca
14676c117c37
1537a3966401
hex1f6fd55259

135020237401 has 15 divisors (see below), whose sum is σ = 157535245301. Its totient is φ = 115716199116.

The previous prime is 135020237393. The next prime is 135020237411. The reversal of 135020237401 is 104732020531.

The square root of 135020237401 is 367451.

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

It is not a de Polignac number, because 135020237401 - 23 = 135020237393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135020237401.

It is not an unprimeable number, because it can be changed into a prime (135020237411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18001350 + ... + 18008848.

Almost surely, 2135020237401 is an apocalyptic number.

135020237401 is the 367451-st square number.

135020237401 is the 183726-th centered octagonal number.

It is an amenable number.

135020237401 is a deficient number, since it is larger than the sum of its proper divisors (22515007900).

135020237401 is an frugal number, since it uses more digits than its factorization.

135020237401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15026 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 135020237401 its reverse (104732020531), we get a palindrome (239752257932).

The spelling of 135020237401 in words is "one hundred thirty-five billion, twenty million, two hundred thirty-seven thousand, four hundred one".

Divisors: 1 7 49 343 2401 7499 52493 367451 2572157 18005099 56235001 393645007 2755515049 19288605343 135020237401