Search a number
-
+
22125153121245 = 32537503131920029
BaseRepresentation
bin1010000011111011010011…
…11001000111001111011101
32220100010212221222122112200
411001331221321013033131
510344444303144334440
6115020053252522113
74442326630346316
oct501755171071735
986303787878480
1022125153121245
117060252154229
122594005020339
13c46515513825
14566c125b360d
152857d5419c30
hex141f69e473dd

22125153121245 has 96 divisors (see below), whose sum is σ = 39496955097600. Its totient is φ = 11449076378112.

The previous prime is 22125153121241. The next prime is 22125153121321. The reversal of 22125153121245 is 54212135152122.

22125153121245 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 515 + 3 + 12 + 124 + 5 = 666.

It is not a de Polignac number, because 22125153121245 - 22 = 22125153121241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22125153121241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1104645891 + ... + 1104665919.

It is an arithmetic number, because the mean of its divisors is an integer number (411426615600).

Almost surely, 222125153121245 is an apocalyptic number.

It is an amenable number.

22125153121245 is a deficient number, since it is larger than the sum of its proper divisors (17371801976355).

22125153121245 is a wasteful number, since it uses less digits than its factorization.

22125153121245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21899 (or 21896 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 22125153121245 its reverse (54212135152122), we get a palindrome (76337288273367).

The spelling of 22125153121245 in words is "twenty-two trillion, one hundred twenty-five billion, one hundred fifty-three million, one hundred twenty-one thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 503 555 1319 1509 1665 2515 3957 4527 6595 7545 11871 18611 19785 20029 22635 48803 55833 59355 60087 93055 100145 146409 167499 180261 244015 279165 300435 439227 663457 732045 741073 837495 901305 1990371 2196135 2223219 3317285 3705365 5971113 6669657 9951855 10074587 11116095 24547909 26418251 29855565 30223761 33348285 50372935 73643727 79254753 90671283 122739545 132091255 151118805 220931181 237764259 368218635 372759719 396273765 453356415 977475287 1104655905 1118279157 1188821295 1863798595 2932425861 3354837471 4887376435 5591395785 8797277583 13288380253 14662129305 16774187355 39865140759 43986387915 66441901265 119595422277 199325703795 491670069361 597977111385 1475010208083 2458350346805 4425030624249 7375051040415 22125153121245