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1332133030032 = 243724721119971
BaseRepresentation
bin10011011000101001010…
…100001110100010010000
311201100110122022111201120
4103120221110032202100
5133311202023430112
62455550134002240
7165146332632600
oct23305124164220
94640418274646
101332133030032
11473a55404262
121962147a6380
139880937358c
1448692ddac00
15249b9e3ce8c
hex1362950e890

1332133030032 has 120 divisors (see below), whose sum is σ = 4004077017312. Its totient is φ = 380525644800.

The previous prime is 1332133029949. The next prime is 1332133030043. The reversal of 1332133030032 is 2300303312331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1332133029984 and 1332133030011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11043807 + ... + 11163777.

Almost surely, 21332133030032 is an apocalyptic number.

1332133030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332133030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002038508656).

1332133030032 is an abundant number, since it is smaller than the sum of its proper divisors (2671943987280).

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

1332133030032 is a wasteful number, since it uses less digits than its factorization.

1332133030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124717 (or 124704 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1332133030032 its reverse (2300303312331), we get a palindrome (3632436342363).

The spelling of 1332133030032 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-three million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4721 9442 14163 18884 28326 33047 37768 56652 66094 75536 99141 113304 119971 132188 198282 226608 231329 239942 264376 359913 396564 462658 479884 528752 693987 719826 793128 839797 925316 959768 1387974 1439652 1586256 1679594 1850632 1919536 2519391 2775948 2879304 3359188 3701264 5038782 5551896 5758608 5878579 6718376 10077564 11103792 11757158 13436752 17635737 20155128 23514316 35271474 40310256 47028632 70542948 94057264 141085896 282171792 566383091 1132766182 1699149273 2265532364 3398298546 3964681637 4531064728 6796597092 7929363274 9062129456 11894044911 13593194184 15858726548 23788089822 27186388368 27752771459 31717453096 47576179644 55505542918 63434906192 83258314377 95152359288 111011085836 166516628754 190304718576 222022171672 333033257508 444044343344 666066515016 1332133030032