Search a number
-
+
133021222310000 = 245453472487773
BaseRepresentation
bin11110001111101101101010…
…101101000001000001110000
3122102222201000200210121120102
4132033231222231001001300
5114413404430402410000
61150525034513131532
740006315615500503
oct3617555255010160
9572881020717512
10133021222310000
1139425a90157582
1212b044a2259ba8
13592bb02a95b6b
1424bc39383713a
15105a2c1eee3d5
hex78fb6ab41070

133021222310000 has 100 divisors (see below), whose sum is σ = 322118042287272. Its totient is φ = 53198516448000.

The previous prime is 133021222309951. The next prime is 133021222310023. The reversal of 133021222310000 is 13222120331.

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

It is a super-2 number, since 2×1330212223100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 52226114 + ... + 54713886.

Almost surely, 2133021222310000 is an apocalyptic number.

133021222310000 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 133021222310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161059021143636).

133021222310000 is an abundant number, since it is smaller than the sum of its proper divisors (189096819977272).

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

133021222310000 is an equidigital number, since it uses as much as digits as its factorization.

133021222310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493148 (or 2493127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133021222310000 its reverse (13222120331), we get a palindrome (133034444430331).

The spelling of 133021222310000 in words is "one hundred thirty-three trillion, twenty-one billion, two hundred twenty-two million, three 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 5000 5347 10000 10694 21388 26735 42776 53470 85552 106940 133675 213880 267350 427760 534700 668375 1069400 1336750 2138800 2487773 2673500 3341875 4975546 5347000 6683750 9951092 10694000 12438865 13367500 19902184 24877730 26735000 39804368 49755460 53470000 62194325 99510920 124388650 199021840 248777300 310971625 497554600 621943250 995109200 1243886500 1554858125 2487773000 3109716250 4975546000 6219432500 12438865000 13302122231 24877730000 26604244462 53208488924 66510611155 106416977848 133021222310 212833955696 266042444620 332553055775 532084889240 665106111550 1064169778480 1330212223100 1662765278875 2660424446200 3325530557750 5320848892400 6651061115500 8313826394375 13302122231000 16627652788750 26604244462000 33255305577500 66510611155000 133021222310000