Search a number
-
+
133010300110000 = 245427974755463
BaseRepresentation
bin11110001111100011011111…
…101100001000010010110000
3122102221122211111202100212111
4132033203133230020102300
5114413220043312010000
61150520031024335104
740005451142356015
oct3617433754102260
9572848744670774
10133010300110000
1139421395928005
1212b02354474494
13592aa8200b421
1424bba3901970c
151059d831cbcba
hex78f8dfb084b0

133010300110000 has 100 divisors (see below), whose sum is σ = 322146439853392. Its totient is φ = 53185087008000.

The previous prime is 133010300109991. The next prime is 133010300110003. The reversal of 133010300110000 is 11003010331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (133010300110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25592269 + ... + 30347731.

Almost surely, 2133010300110000 is an apocalyptic number.

133010300110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133010300110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161073219926696).

133010300110000 is an abundant number, since it is smaller than the sum of its proper divisors (189136139743392).

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

133010300110000 is an equidigital number, since it uses as much as digits as its factorization.

133010300110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758288 (or 4758267 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 133010300110000 its reverse (11003010331), we get a palindrome (133021303120331).

The spelling of 133010300110000 in words is "one hundred thirty-three trillion, ten billion, three hundred million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2797 5000 5594 10000 11188 13985 22376 27970 44752 55940 69925 111880 139850 223760 279700 349625 559400 699250 1118800 1398500 1748125 2797000 3496250 4755463 5594000 6992500 9510926 13985000 19021852 23777315 27970000 38043704 47554630 76087408 95109260 118886575 190218520 237773150 380437040 475546300 594432875 951092600 1188865750 1902185200 2377731500 2972164375 4755463000 5944328750 9510926000 11888657500 13301030011 23777315000 26602060022 47554630000 53204120044 66505150055 106408240088 133010300110 212816480176 266020600220 332525750275 532041200440 665051500550 1064082400880 1330103001100 1662628751375 2660206002200 3325257502750 5320412004400 6650515005500 8313143756875 13301030011000 16626287513750 26602060022000 33252575027500 66505150055000 133010300110000