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1332021003144 = 23313113234116139
BaseRepresentation
bin10011011000100010101…
…000111000001110001000
311201100011211111221201120
4103120202220320032020
5133310434334100034
62455531052515240
7165143502466566
oct23304250701610
94640154457646
101332021003144
114739a8148857
121961a317bb20
13987bc0ab790
1448682198a36
15249b01aec49
hex13622a38388

1332021003144 has 128 divisors (see below), whose sum is σ = 3619716508800. Its totient is φ = 406026915840.

The previous prime is 1332021003139. The next prime is 1332021003149. The reversal of 1332021003144 is 4413001202331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1332021003139) and next prime (1332021003149).

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

It is not an unprimeable number, because it can be changed into a prime (1332021003149) 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, 82526227 + ... + 82542365.

It is an arithmetic number, because the mean of its divisors is an integer number (28279035225).

Almost surely, 21332021003144 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 1332021003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809858254400).

1332021003144 is an abundant number, since it is smaller than the sum of its proper divisors (2287695505656).

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

1332021003144 is a wasteful number, since it uses less digits than its factorization.

1332021003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18615 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1332021003144 its reverse (4413001202331), we get a palindrome (5745022205475).

The spelling of 1332021003144 in words is "one trillion, three hundred thirty-two billion, twenty-one million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 2341 2712 2938 4407 4682 5876 7023 8814 9364 11752 14046 16139 17628 18728 28092 30433 32278 35256 48417 56184 60866 64556 91299 96834 121732 129112 182598 193668 209807 243464 264533 365196 387336 419614 529066 629421 730392 793599 839228 1058132 1258842 1587198 1678456 1823707 2116264 2517684 3174396 3438929 3647414 5035368 5471121 6348792 6877858 7294828 10316787 10942242 13755716 14589656 20633574 21884484 23708191 27511432 37781399 41267148 43768968 47416382 71124573 75562798 82534296 94832764 113344197 142249146 151125596 189665528 226688394 284498292 302251192 453376788 491158187 568996584 906753576 982316374 1473474561 1964632748 2946949122 3929265496 4269298087 5893898244 8538596174 11787796488 12807894261 17077192348 25615788522 34154384696 51231577044 55500875131 102463154088 111001750262 166502625393 222003500524 333005250786 444007001048 666010501572 1332021003144