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1301200152 = 23377998041
BaseRepresentation
bin100110110001110…
…1011110100011000
310100200102211001020
41031203223310120
510131101401102
6333041122440
744150006310
oct11543536430
93320384036
101301200152
11608547a2a
12303929420
13179768325
14c4b54440
157937abbc
hex4d8ebd18

1301200152 has 64 divisors (see below), whose sum is σ = 3764812800. Its totient is φ = 367061760.

The previous prime is 1301200141. The next prime is 1301200189. The reversal of 1301200152 is 2510021031.

1301200152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13012001523 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35749 + ... + 62292.

It is an arithmetic number, because the mean of its divisors is an integer number (58825200).

Almost surely, 21301200152 is an apocalyptic number.

1301200152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1301200152 is an abundant number, since it is smaller than the sum of its proper divisors (2463612648).

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

1301200152 is a wasteful number, since it uses less digits than its factorization.

1301200152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98136 (or 98132 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1301200152 is about 36072.1520289544. The cubic root of 1301200152 is about 1091.7286354919.

Adding to 1301200152 its reverse (2510021031), we get a palindrome (3811221183).

The spelling of 1301200152 in words is "one billion, three hundred one million, two hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 13272 98041 196082 294123 392164 588246 686287 784328 1176492 1372574 2058861 2352984 2745148 4117722 5490296 7745239 8235444 15490478 16470888 23235717 30980956 46471434 54216673 61961912 92942868 108433346 162650019 185885736 216866692 325300038 433733384 650600076 1301200152