Search a number
-
+
242022013134 = 231131532698297
BaseRepresentation
bin1110000101100110100…
…0101101100011001110
3212010200221010010120020
43201121220231203032
512431130113410014
6303103335403010
723325350111556
oct3413150554316
9763627103506
10242022013134
1193706131680
123aaa4823466
1319a902855c5
14b9dd038166
15646771b1a9
hex3859a2d8ce

242022013134 has 128 divisors (see below), whose sum is σ = 557498142720. Its totient is φ = 69367833600.

The previous prime is 242022013117. The next prime is 242022013147. The reversal of 242022013134 is 431310220242.

It is a happy number.

242022013134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29165674 + ... + 29173970.

It is an arithmetic number, because the mean of its divisors is an integer number (4355454240).

Almost surely, 2242022013134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242022013134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278749071360).

242022013134 is an abundant number, since it is smaller than the sum of its proper divisors (315476129586).

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

242022013134 is a wasteful number, since it uses less digits than its factorization.

242022013134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242022013134 its reverse (431310220242), we get a palindrome (673332233376).

The spelling of 242022013134 in words is "two hundred forty-two billion, twenty-two million, thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 53 62 66 93 106 159 186 269 318 341 538 583 682 807 1023 1166 1614 1643 1749 2046 2959 3286 3498 4929 5918 8297 8339 8877 9858 14257 16594 16678 17754 18073 24891 25017 28514 36146 42771 49782 50034 54219 85542 91267 91729 108438 156827 182534 183458 257207 273801 275187 313654 439741 441967 470481 514414 547602 550374 771621 879482 883934 940962 1319223 1325901 1543242 2231893 2638446 2651802 2829277 4463786 4837151 4861637 5658554 6695679 8487831 9674302 9723274 13391358 13631971 14511453 14584911 16975662 24550823 27263942 29022906 29169822 40895913 49101646 69188683 73652469 81791826 118290329 138377366 147304938 149951681 207566049 236580658 299903362 354870987 415132098 449855043 709741974 761075513 899710086 1301193619 1522151026 2283226539 2602387238 3667000199 3903580857 4566453078 7334000398 7807161714 11001000597 22002001194 40337002189 80674004378 121011006567 242022013134