Search a number
-
+
201211313130 = 232511597192781
BaseRepresentation
bin1011101101100100100…
…0001111101111101010
3201020100202120202201200
42323121020033233222
511244040044010010
6232234000425030
720352126641112
oct2733110175752
9636322522650
10201211313130
11783735a4733
1232bb5318176
1315c88274ac9
149a4ad18042
155379996cc0
hex2ed920fbea

201211313130 has 48 divisors (see below), whose sum is σ = 523197238824. Its totient is φ = 53651445120.

The previous prime is 201211313003. The next prime is 201211313131. The reversal of 201211313130 is 31313112102.

201211313130 is a `hidden beast` number, since 201 + 21 + 1 + 313 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144072625761 + 57138687369 = 379569^2 + 239037^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201211313131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947340 + ... + 1140120.

Almost surely, 2201211313130 is an apocalyptic number.

201211313130 is an abundant number, since it is smaller than the sum of its proper divisors (321985925694).

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

201211313130 is a wasteful number, since it uses less digits than its factorization.

201211313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204391 (or 204388 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201211313130 its reverse (31313112102), we get a palindrome (232524425232).

The spelling of 201211313130 in words is "two hundred one billion, two hundred eleven million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11597 23194 34791 57985 69582 104373 115970 173955 192781 208746 347910 385562 521865 578343 963905 1043730 1156686 1735029 1927810 2891715 3470058 5783430 8675145 17350290 2235681257 4471362514 6707043771 11178406285 13414087542 20121131313 22356812570 33535218855 40242262626 67070437710 100605656565 201211313130