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412121130 = 235233119267
BaseRepresentation
bin11000100100000…
…111100000101010
31001201110220220120
4120210013200222
51321000334010
6104521104110
713132654221
oct3044074052
91051426816
10412121130
111a16a4783
12b6028036
13674c6775
143ca3bcb8
15262a9e70
hex1890782a

412121130 has 64 divisors (see below), whose sum is σ = 1065443328. Its totient is φ = 101724480.

The previous prime is 412121113. The next prime is 412121137. The reversal of 412121130 is 31121214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (412121137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11757 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (16647552).

Almost surely, 2412121130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532721664).

412121130 is an abundant number, since it is smaller than the sum of its proper divisors (653322198).

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

412121130 is a wasteful number, since it uses less digits than its factorization.

412121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 412121130 is about 20300.7667342886. The cubic root of 412121130 is about 744.1748021172.

Adding to 412121130 its reverse (31121214), we get a palindrome (443242344).

The spelling of 412121130 in words is "four hundred twelve million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1426 2139 3565 4278 7130 10695 19267 21390 38534 57801 96335 115602 192670 289005 443141 578010 597277 886282 1194554 1329423 1791831 2215705 2658846 2986385 3583662 4431410 5972770 6647115 8959155 13294230 13737371 17918310 27474742 41212113 68686855 82424226 137373710 206060565 412121130