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1132131331002 = 237157269787811
BaseRepresentation
bin10000011110011000010…
…010010010101110111010
311000020020011211111121010
4100132120102102232322
5122022101110043002
62224032143254350
7144536161351260
oct20363022225672
94006204744533
101132131331002
113a7152692601
121634b85aa3b6
13829b48aac79
143cb1c9d6430
151e6b178046c
hex10798492bba

1132131331002 has 128 divisors (see below), whose sum is σ = 2620440668160. Its totient is φ = 319409775360.

The previous prime is 1132131330971. The next prime is 1132131331007. The reversal of 1132131331002 is 2001331312311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1132131331002.

It is not an unprimeable number, because it can be changed into a prime (1132131331007) 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 63 ways as a sum of consecutive naturals, for example, 1395969177 + ... + 1395969987.

It is an arithmetic number, because the mean of its divisors is an integer number (20472192720).

Almost surely, 21132131331002 is an apocalyptic number.

1132131331002 is an abundant number, since it is smaller than the sum of its proper divisors (1488309337158).

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

1132131331002 is a wasteful number, since it uses less digits than its factorization.

1132131331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1132131331002 its reverse (2001331312311), we get a palindrome (3133462643313).

The spelling of 1132131331002 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 157 269 314 471 538 787 807 811 942 1099 1574 1614 1622 1883 2198 2361 2433 3297 3766 4722 4866 5509 5649 5677 6594 11018 11298 11354 16527 17031 33054 34062 42233 84466 123559 126699 127327 211703 218159 247118 253398 254654 295631 370677 381981 423406 436318 591262 635109 638257 654477 741354 763962 864913 886893 891289 1270218 1276514 1308954 1481921 1527113 1729826 1773786 1782578 1914771 2594739 2673867 2963842 3054226 3829542 4445763 4467799 4581339 5189478 5347734 8891526 8935598 9162678 13403397 26806794 33237371 34250963 66474742 68501926 99712113 100206349 102752889 171691133 199424226 200412698 205505778 232661597 239756741 300619047 343382266 465323194 479513482 515073399 601238094 697984791 701444443 719270223 1030146798 1201837931 1395969582 1402888886 1438540446 2104333329 2403675862 3605513793 4208666658 7211027586 26955507881 53911015762 80866523643 161733047286 188688555167 377377110334 566065665501 1132131331002