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1331013232 = 2417192983107
BaseRepresentation
bin100111101010101…
…1010011001110000
310102202112110220101
41033111122121300
510211214410412
6340024122144
744661266023
oct11725323160
93382473811
101331013232
1162335aa3a
12311906354
131829a61c3
14c8ab51ba
157bcb9457
hex4f55a670

1331013232 has 160 divisors (see below), whose sum is σ = 3037305600. Its totient is φ = 560738304.

The previous prime is 1331013209. The next prime is 1331013239. The reversal of 1331013232 is 2323101331.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331013239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12439323 + ... + 12439429.

It is an arithmetic number, because the mean of its divisors is an integer number (18983160).

Almost surely, 21331013232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518652800).

1331013232 is an abundant number, since it is smaller than the sum of its proper divisors (1706292368).

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

1331013232 is a wasteful number, since it uses less digits than its factorization.

1331013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1331013232 is about 36483.0540388274. The cubic root of 1331013232 is about 1100.0036451670.

Adding to 1331013232 its reverse (2323101331), we get a palindrome (3654114563).

The spelling of 1331013232 in words is "one billion, three hundred thirty-one million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 83 107 116 136 152 166 214 232 272 304 323 332 428 464 493 551 646 664 856 986 1102 1292 1328 1411 1577 1712 1819 1972 2033 2204 2407 2584 2822 3103 3154 3638 3944 4066 4408 4814 5168 5644 6206 6308 7276 7888 8132 8816 8881 9367 9628 11288 12412 12616 14552 16264 17762 18734 19256 22576 24824 25232 26809 29104 32528 34561 35524 37468 38512 40919 45733 49648 52751 53618 58957 69122 71048 74936 81838 91466 105502 107236 117914 138244 142096 149872 150977 163676 168739 182932 211004 214472 235828 257549 276488 301954 327352 337478 365864 422008 428944 471656 515098 552976 603908 654704 674956 731728 777461 844016 943312 1002269 1030196 1207816 1349912 1554922 2004538 2060392 2415632 2699824 2868563 3109844 4009076 4120784 4378333 4893431 5737126 6219688 8018152 8756666 9786862 11474252 12439376 16036304 17513332 19573724 22948504 35026664 39147448 45897008 70053328 78294896 83188327 166376654 332753308 665506616 1331013232