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11330323112628 = 22331347171702781
BaseRepresentation
bin1010010011100000101111…
…1000100110001010110100
31111010011112200212102122000
42210320023320212022310
52441114000204101003
640033024550135300
72246405653256112
oct244701370461264
944104480772560
1011330323112628
11367918801a573
12132ba86351530
136425a2548950
142b25679d0ab2
15149adb0191a3
hexa4e0be262b4

11330323112628 has 96 divisors (see below), whose sum is σ = 32307595461120. Its totient is φ = 3412077644160.

The previous prime is 11330323112627. The next prime is 11330323112677. The reversal of 11330323112628 is 82621132303311.

11330323112628 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 3 + 23 + 1 + 1 + 2 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11330323112592 and 11330323112601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330323112627) 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, 85785403 + ... + 85917378.

It is an arithmetic number, because the mean of its divisors is an integer number (336537452720).

Almost surely, 211330323112628 is an apocalyptic number.

11330323112628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11330323112628 is an abundant number, since it is smaller than the sum of its proper divisors (20977272348492).

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

11330323112628 is a wasteful number, since it uses less digits than its factorization.

11330323112628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171702854 (or 171702846 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 11330323112628 its reverse (82621132303311), we get a palindrome (93951455415939).

The spelling of 11330323112628 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-three million, one hundred twelve thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2444 2538 3666 5076 5499 7332 10998 16497 21996 32994 65988 171702781 343405562 515108343 686811124 1030216686 1545325029 2060433372 2232136153 3090650058 4464272306 4635975087 6181300116 6696408459 8070030707 8928544612 9271950174 13392816918 16140061414 18543900348 20089225377 24210092121 26785633836 32280122828 40178450754 48420184242 60267676131 72630276363 80356901508 96840368484 104910399191 120535352262 145260552726 209820798382 217890829089 241070704524 290521105452 314731197573 419641596764 435781658178 629462395146 871563316356 944193592719 1258924790292 1888387185438 2832580778157 3776774370876 5665161556314 11330323112628