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3122251242 = 23112331431543
BaseRepresentation
bin1011101000011001…
…1100010111101010
322001121001210111220
42322012130113222
522343244014432
61233452402510
7140241461205
oct27206342752
98047053456
103122251242
11136247a630
12731776436
133a9b19056
1421894a93c
1513419172c
hexba19c5ea

3122251242 has 128 divisors (see below), whose sum is σ = 7513178112. Its totient is φ = 854884800.

The previous prime is 3122251217. The next prime is 3122251243. The reversal of 3122251242 is 2421522213.

It is not an unprimeable number, because it can be changed into a prime (3122251243) 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 63 ways as a sum of consecutive naturals, for example, 2022723 + ... + 2024265.

It is an arithmetic number, because the mean of its divisors is an integer number (58696704).

Almost surely, 23122251242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122251242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756589056).

3122251242 is an abundant number, since it is smaller than the sum of its proper divisors (4390926870).

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

3122251242 is a wasteful number, since it uses less digits than its factorization.

3122251242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656.

The product of its digits is 1920, while the sum is 24.

The square root of 3122251242 is about 55877.1083897512. The cubic root of 3122251242 is about 1461.5800811128.

Adding to 3122251242 its reverse (2421522213), we get a palindrome (5543773455).

The spelling of 3122251242 in words is "three billion, one hundred twenty-two million, two hundred fifty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 23 31 33 43 46 62 66 69 86 93 129 138 186 253 258 341 473 506 682 713 759 946 989 1023 1333 1419 1426 1518 1543 1978 2046 2139 2666 2838 2967 3086 3999 4278 4629 5934 7843 7998 9258 10879 14663 15686 16973 21758 23529 29326 30659 32637 33946 35489 43989 47058 47833 50919 61318 65274 66349 70978 87978 91977 95666 101838 106467 132698 143499 183954 199047 212934 286998 337249 390379 398094 526163 674498 729839 780758 1011747 1052326 1100159 1171137 1459678 1526027 1578489 2023494 2056819 2189517 2200318 2342274 3052054 3156978 3300477 4113638 4379034 4578081 6170457 6600954 9156162 12101749 12340914 16786297 22625009 24203498 33572594 36305247 45250018 47306837 50358891 67875027 72610494 94613674 100717782 135750054 141920511 283841022 520375207 1040750414 1561125621 3122251242