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1301311332 = 22345375781
BaseRepresentation
bin100110110010000…
…0110111101100100
310100200122110120000
41031210012331210
510131113430312
6333043341300
744150651406
oct11544067544
93320573500
101301311332
11608613512
12303981830
131797a6b09
14c4b82b76
157939dadc
hex4d906f64

1301311332 has 60 divisors (see below), whose sum is σ = 3466117116. Its totient is φ = 425580480.

The previous prime is 1301311313. The next prime is 1301311337. The reversal of 1301311332 is 2331131031.

It is a happy number.

1301311332 is a `hidden beast` number, since 1 + 301 + 31 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 588741696 + 712569636 = 24264^2 + 26694^2 .

It is a super-2 number, since 2×13013113322 = 3386822365583228448, which contains 22 as substring.

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 (1301311337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20719 + ... + 55062.

Almost surely, 21301311332 is an apocalyptic number.

1301311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1301311332 is an abundant number, since it is smaller than the sum of its proper divisors (2164805784).

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

1301311332 is a wasteful number, since it uses less digits than its factorization.

1301311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75850 (or 75839 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1301311332 is about 36073.6930740394. The cubic root of 1301311332 is about 1091.7597285646.

Adding to 1301311332 its reverse (2331131031), we get a palindrome (3632442363).

The spelling of 1301311332 in words is "one billion, three hundred one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 17172 75781 151562 227343 303124 454686 682029 909372 1364058 2046087 2728116 4016393 4092174 6138261 8032786 8184348 12049179 12276522 16065572 24098358 24553044 36147537 48196716 72295074 108442611 144590148 216885222 325327833 433770444 650655666 1301311332