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3542213130 = 2351937533169
BaseRepresentation
bin1101001100100001…
…1110001000001010
3100010212022001220220
43103020132020022
524223301310010
61343253530510
7153531212661
oct32310361012
910125261826
103542213130
11155853a175
1282a343a36
13445b29601
14258629dd8
1515ae99970
hexd321e20a

3542213130 has 128 divisors (see below), whose sum is σ = 9366969600. Its totient is φ = 853991424.

The previous prime is 3542213123. The next prime is 3542213137. The reversal of 3542213130 is 313122453.

It is an interprime number because it is at equal distance from previous prime (3542213123) and next prime (3542213137).

It is a super-3 number, since 3×35422131303 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3542213130.

It is not an unprimeable number, because it can be changed into a prime (3542213137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116186 + ... + 1119354.

It is an arithmetic number, because the mean of its divisors is an integer number (73179450).

Almost surely, 23542213130 is an apocalyptic number.

3542213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683484800).

3542213130 is an abundant number, since it is smaller than the sum of its proper divisors (5824756470).

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

3542213130 is a wasteful number, since it uses less digits than its factorization.

3542213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3542213130 is about 59516.4946044372. The cubic root of 3542213130 is about 1524.3741056013.

Adding to 3542213130 its reverse (313122453), we get a palindrome (3855335583).

The spelling of 3542213130 in words is "three billion, five hundred forty-two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 53 57 74 95 106 111 114 159 185 190 222 265 285 318 370 530 555 570 703 795 1007 1110 1406 1590 1961 2014 2109 3021 3169 3515 3922 4218 5035 5883 6042 6338 7030 9507 9805 10070 10545 11766 15105 15845 19014 19610 21090 29415 30210 31690 37259 47535 58830 60211 74518 95070 111777 117253 120422 167957 180633 186295 223554 234506 301055 335914 351759 361266 372590 503871 558885 586265 602110 703518 839785 903165 1007742 1117770 1172530 1679570 1758795 1806330 2227807 2519355 3191183 3517590 4455614 5038710 6214409 6382366 6683421 9573549 11139035 12428818 13366842 15955915 18643227 19147098 22278070 31072045 31911830 33417105 37286454 47867745 62144090 66834210 93216135 95735490 118073771 186432270 236147542 354221313 590368855 708442626 1180737710 1771106565 3542213130