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11320122000 = 2435311171517
BaseRepresentation
bin10101000101011101…
…10101101010010000
31002012220210210001210
422202232311222100
5141140422401000
65111141300120
7550344310065
oct124256655220
932186723053
1011320122000
114889a06230
12223b104640
1310b534c255
14795600c6c
15463c25350
hex2a2bb5a90

11320122000 has 160 divisors (see below), whose sum is σ = 39814130304. Its totient is φ = 2744256000.

The previous prime is 11320121983. The next prime is 11320122001. The reversal of 11320122000 is 22102311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11320122001) 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, 19759 + ... + 151758.

Almost surely, 211320122000 is an apocalyptic number.

11320122000 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 11320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19907065152).

11320122000 is an abundant number, since it is smaller than the sum of its proper divisors (28494008304).

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

11320122000 is a wasteful number, since it uses less digits than its factorization.

11320122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171554 (or 171538 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11320122000 its reverse (22102311), we get a palindrome (11342224311).

The spelling of 11320122000 in words is "eleven billion, three hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 171517 343034 514551 686068 857585 1029102 1372136 1715170 1886687 2058204 2572755 2744272 3430340 3773374 4116408 4287925 5145510 5660061 6860680 7546748 8232816 8575850 9433435 10291020 11320122 12863775 13721360 15093496 17151700 18866870 20582040 21439625 22640244 25727550 28300305 30186992 34303400 37733740 41164080 42879250 45280488 47167175 51455100 56600610 64318875 68606800 75467480 85758500 90560976 94334350 102910200 113201220 128637750 141501525 150934960 171517000 188668700 205820400 226402440 235835875 257275500 283003050 343034000 377337400 452804880 471671750 514551000 566006100 707507625 754674800 943343500 1029102000 1132012200 1415015250 1886687000 2264024400 2830030500 3773374000 5660061000 11320122000