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3421130130 = 23251115232269
BaseRepresentation
bin1100101111101010…
…0100110110010010
322211102110102021100
43023322210312102
524001302131010
61323250405230
7150531061215
oct31372446622
98742412240
103421130130
1114a6158780
127b5890816
13426a13772
1424650b77c
1515052d2c0
hexcbea4d92

3421130130 has 96 divisors (see below), whose sum is σ = 9714219840. Its totient is φ = 828455040.

The previous prime is 3421130129. The next prime is 3421130137. The reversal of 3421130130 is 310311243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3421130137) 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 47 ways as a sum of consecutive naturals, for example, 1506636 + ... + 1508904.

It is an arithmetic number, because the mean of its divisors is an integer number (101189790).

Almost surely, 23421130130 is an apocalyptic number.

3421130130 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 3421130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857109920).

3421130130 is an abundant number, since it is smaller than the sum of its proper divisors (6293089710).

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

3421130130 is a wasteful number, since it uses less digits than its factorization.

3421130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3421130130 is about 58490.4276783817. The cubic root of 3421130130 is about 1506.8031910793.

Adding to 3421130130 its reverse (310311243), we get a palindrome (3731441373).

The spelling of 3421130130 in words is "three billion, four hundred twenty-one million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1523 2269 3046 4538 4569 6807 7615 9138 11345 13614 13707 15230 16753 20421 22690 22845 24959 27414 33506 34035 40842 45690 49918 50259 68070 68535 74877 83765 100518 102105 124795 137070 149754 150777 167530 204210 224631 249590 251295 301554 374385 449262 502590 748770 753885 1123155 1507770 2246310 3455687 6911374 10367061 17278435 20734122 31101183 34556870 38012557 51835305 62202366 76025114 103670610 114037671 155505915 190062785 228075342 311011830 342113013 380125570 570188355 684226026 1140376710 1710565065 3421130130