Search a number
-
+
1220232001329 = 34114347677639
BaseRepresentation
bin10001110000011011011…
…111101011011100110001
311022122122001210021020000
4101300123133223130301
5124443013343020304
62332322234340213
7154105325606445
oct21603337533461
94278561707200
101220232001329
11430552176150
121785a528a669
138b0b5072823
14430b9562825
1521b1aed2939
hex11c1b7eb731

1220232001329 has 80 divisors (see below), whose sum is σ = 2078067087360. Its totient is φ = 706966172640.

The previous prime is 1220232001321. The next prime is 1220232001343. The reversal of 1220232001329 is 9231002320221.

1220232001329 is a `hidden beast` number, since 1 + 2 + 202 + 320 + 0 + 132 + 9 = 666.

It is not a de Polignac number, because 1220232001329 - 23 = 1220232001321 is a prime.

It is a super-2 number, since 2×12202320013292 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1220232001321) 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 79 ways as a sum of consecutive naturals, for example, 1461892 + ... + 2139530.

It is an arithmetic number, because the mean of its divisors is an integer number (25975838592).

Almost surely, 21220232001329 is an apocalyptic number.

It is an amenable number.

1220232001329 is a deficient number, since it is larger than the sum of its proper divisors (857835086031).

1220232001329 is a wasteful number, since it uses less digits than its factorization.

1220232001329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677752 (or 677743 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1220232001329 in words is "one trillion, two hundred twenty billion, two hundred thirty-two million, one thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 27 33 43 47 81 99 129 141 297 387 423 473 517 891 1161 1269 1419 1551 2021 3483 3807 4257 4653 6063 12771 13959 18189 22231 38313 41877 54567 66693 163701 200079 600237 677639 1800711 2032917 6098751 7454029 18296253 22362087 29138477 31849033 54888759 67086261 87415431 95547099 201258783 262246293 286641297 320523247 350339363 603776349 786738879 859923891 961569741 1051018089 1369508419 2360216637 2579771673 2884709223 3153054267 4108525257 8654127669 9459162801 12325575771 15064592609 25962383007 28377488403 36976727313 45193777827 110930181939 135581333481 406744000443 1220232001329