Search a number
-
+
1142021024001 = 331121331867401
BaseRepresentation
bin10000100111100101110…
…000011110100100000001
311001011202102000221222000
4100213211300132210001
5122202324340232001
62232345345534213
7145336226352414
oct20474560364401
94034672027860
101142021024001
11400368106300
121653b8644369
13838cc786410
143d3ba243b7b
151ea8eaeea86
hex109e5c1e901

1142021024001 has 96 divisors (see below), whose sum is σ = 2067331230720. Its totient is φ = 618282720000.

The previous prime is 1142021023993. The next prime is 1142021024017. The reversal of 1142021024001 is 1004201202411.

1142021024001 is a `hidden beast` number, since 1 + 1 + 420 + 2 + 1 + 0 + 240 + 0 + 1 = 666.

It is not a de Polignac number, because 1142021024001 - 23 = 1142021023993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1142021004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882901 + ... + 1750301.

It is an arithmetic number, because the mean of its divisors is an integer number (21534700320).

Almost surely, 21142021024001 is an apocalyptic number.

1142021024001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1142021024001 is a deficient number, since it is larger than the sum of its proper divisors (925310206719).

1142021024001 is a wasteful number, since it uses less digits than its factorization.

1142021024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867476 (or 867459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1142021024001 its reverse (1004201202411), we get a palindrome (2146222226412).

The spelling of 1142021024001 in words is "one trillion, one hundred forty-two billion, twenty-one million, twenty-four thousand, one".

Divisors: 1 3 9 11 13 27 31 33 39 93 99 117 121 143 279 297 341 351 363 403 429 837 1023 1089 1209 1287 1573 3069 3267 3627 3751 3861 4433 4719 9207 10881 11253 13299 14157 33759 39897 42471 48763 101277 119691 146289 438867 867401 1316601 2602203 7806609 9541411 11276213 23419827 26889431 28624233 33828639 80668293 85872699 101485917 104955521 124038343 242004879 257618097 295783741 304457751 314866563 349562603 372115029 726014637 887351223 944599689 1048687809 1116345087 1364421773 2662053669 2833799067 3146063427 3253621151 3349035261 3845188633 4093265319 7986161007 9438190281 9760863453 11535565899 12279795957 29282590359 34606697697 36839387871 42297074963 87847771077 103820093091 126891224889 380673674667 1142021024001