Search a number
-
+
13321023000 = 2335341108301
BaseRepresentation
bin11000110011111111…
…01010111000011000
31021101100212002020020
430121333222320120
5204240140214000
610041455430440
7651051553515
oct143177527030
937340762206
1013321023000
11571640881a
1226b9225420
131343a5073c
1490525230c
1552e714ba0
hex319feae18

13321023000 has 128 divisors (see below), whose sum is σ = 42575682240. Its totient is φ = 3465600000.

The previous prime is 13321022993. The next prime is 13321023029. The reversal of 13321023000 is 32012331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68850 + ... + 177150.

Almost surely, 213321023000 is an apocalyptic number.

13321023000 is a gapful number since it is divisible by the number (10) 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 13321023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287841120).

13321023000 is an abundant number, since it is smaller than the sum of its proper divisors (29254659240).

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

13321023000 is a wasteful number, since it uses less digits than its factorization.

13321023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108366 (or 108352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13321023000 its reverse (32012331), we get a palindrome (13353035331).

The spelling of 13321023000 in words is "thirteen billion, three hundred twenty-one million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 108301 123000 216602 324903 433204 541505 649806 866408 1083010 1299612 1624515 2166020 2599224 2707525 3249030 4332040 4440341 5415050 6498060 8122575 8880682 10830100 12996120 13321023 13537625 16245150 17761364 21660200 22201705 26642046 27075250 32490300 35522728 40612875 44403410 53284092 54150500 64980600 66605115 81225750 88806820 106568184 108301000 111008525 133210230 162451500 177613640 222017050 266420460 324903000 333025575 444034100 532840920 555042625 666051150 888068200 1110085250 1332102300 1665127875 2220170500 2664204600 3330255750 4440341000 6660511500 13321023000