Search a number
-
+
201315001011252 = 223234316962841339
BaseRepresentation
bin101101110001100001001101…
…000111111000110000110100
3222101210112012120000211122220
4231301201031013320300310
5202341321110224330002
61552054500144522340
760255346252426662
oct5561411507706064
9871715176024586
10201315001011252
11591662378882a7
121a6b42426203b0
138843c0019772b
14379d9ab5b7c32
1518419e9e287bc
hexb7184d1f8c34

201315001011252 has 48 divisors (see below), whose sum is σ = 501557292741120. Its totient is φ = 62694661585248.

The previous prime is 201315001011251. The next prime is 201315001011307. The reversal of 201315001011252 is 252110100513102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201315001011251) 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 15 ways as a sum of consecutive naturals, for example, 8481408802 + ... + 8481432537.

It is an arithmetic number, because the mean of its divisors is an integer number (10449110265440).

Almost surely, 2201315001011252 is an apocalyptic number.

It is an amenable number.

201315001011252 is an abundant number, since it is smaller than the sum of its proper divisors (300242291729868).

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

201315001011252 is a wasteful number, since it uses less digits than its factorization.

201315001011252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16962841412 (or 16962841410 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 201315001011252 its reverse (252110100513102), we get a palindrome (453425101524354).

The spelling of 201315001011252 in words is "two hundred one trillion, three hundred fifteen billion, one million, eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3956 5934 11868 16962841339 33925682678 50888524017 67851365356 101777048034 203554096068 390145350797 729402177577 780290701594 1170436052391 1458804355154 1560581403188 2188206532731 2340872104782 2917608710308 4376413065462 4681744209564 8752826130924 16776250084271 33552500168542 50328750252813 67105000337084 100657500505626 201315001011252