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1121435442 = 234193743229
BaseRepresentation
bin100001011010111…
…1011111100110010
32220011011211020000
41002311323330302
54244041413232
6303140130430
736535021041
oct10265737462
92804154200
101121435442
11526026056
12273696a16
1314b44758a
14a8d1c558
15686bc27c
hex42d7bf32

1121435442 has 160 divisors (see below), whose sum is σ = 2791905600. Its totient is φ = 335083392.

The previous prime is 1121435431. The next prime is 1121435453. The reversal of 1121435442 is 2445341211.

1121435442 is a `hidden beast` number, since 1 + 1 + 214 + 3 + 5 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (1121435431) and next prime (1121435453).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4896984 + ... + 4897212.

It is an arithmetic number, because the mean of its divisors is an integer number (17449410).

Almost surely, 21121435442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121435442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395952800).

1121435442 is an abundant number, since it is smaller than the sum of its proper divisors (1670470158).

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

1121435442 is a wasteful number, since it uses less digits than its factorization.

1121435442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1121435442 is about 33487.8402110378. The cubic root of 1121435442 is about 1038.9422931159.

Adding to 1121435442 its reverse (2445341211), we get a palindrome (3566776653).

It can be divided in two parts, 11214 and 35442, that added together give a 6-th power (46656 = 66).

The spelling of 1121435442 in words is "one billion, one hundred twenty-one million, four hundred thirty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 37 38 43 54 57 74 81 86 111 114 129 162 171 222 229 258 333 342 387 458 513 666 687 703 774 817 999 1026 1161 1374 1406 1539 1591 1634 1998 2061 2109 2322 2451 2997 3078 3182 3483 4122 4218 4351 4773 4902 5994 6183 6327 6966 7353 8473 8702 9546 9847 12366 12654 13053 14319 14706 16946 18549 18981 19694 22059 25419 26106 28638 29541 30229 37098 37962 39159 42957 44118 50838 56943 59082 60458 66177 76257 78318 85914 88623 90687 113886 117477 128871 132354 152514 160987 177246 181374 187093 228771 234954 257742 265869 272061 321974 352431 364339 374186 457542 482961 531738 544122 561279 686313 704862 728678 797607 816183 965922 1093017 1122558 1372626 1448883 1595214 1632366 1683837 2186034 2448549 2897766 3279051 3367674 4346649 4897098 5051511 6558102 6922441 8693298 9837153 10103022 13039947 13844882 15154533 19674306 20767323 26079894 29511459 30309066 41534646 59022918 62301969 124603938 186905907 373811814 560717721 1121435442