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2102155242 = 2311233533923
BaseRepresentation
bin111110101001100…
…0101011111101010
312102111120112212120
41331103011133222
513301122431432
6544332252110
7103044011325
oct17523053752
95374515776
102102155242
11989680390
124a8011036
13276693b55
1415d28b7bc
15c4840c2c
hex7d4c57ea

2102155242 has 64 divisors (see below), whose sum is σ = 4800715776. Its totient is φ = 607439360.

The previous prime is 2102155189. The next prime is 2102155243. The reversal of 2102155242 is 2425512012.

It is a super-2 number, since 2×21021552422 = 8838113322936157128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102155243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 533893 + ... + 537815.

It is an arithmetic number, because the mean of its divisors is an integer number (75011184).

Almost surely, 22102155242 is an apocalyptic number.

2102155242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102155242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400357888).

2102155242 is an abundant number, since it is smaller than the sum of its proper divisors (2698560534).

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

2102155242 is a wasteful number, since it uses less digits than its factorization.

2102155242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2102155242 is about 45849.2665372086. The cubic root of 2102155242 is about 1281.0171037735.

Adding to 2102155242 its reverse (2425512012), we get a palindrome (4527667254).

The spelling of 2102155242 in words is "two billion, one hundred two million, one hundred fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 353 506 706 759 1059 1518 2118 3883 3923 7766 7846 8119 11649 11769 16238 23298 23538 24357 43153 48714 86306 89309 90229 129459 178618 180458 258918 267927 270687 535854 541374 992519 1384819 1985038 2769638 2977557 4154457 5955114 8308914 15233009 30466018 31850837 45699027 63701674 91398054 95552511 191105022 350359207 700718414 1051077621 2102155242