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13021123000 = 235359832659
BaseRepresentation
bin11000010000001111…
…01001000110111000
31020121110112120202211
430020013221012320
5203131401414000
65552023504504
7640450501504
oct141007510670
936543476684
1013021123000
1155820a2486
1226348b8134
1312c6889312
148b74a7304
155132257ba
hex3081e91b8

13021123000 has 128 divisors (see below), whose sum is σ = 31370976000. Its totient is φ = 5056579200.

The previous prime is 13021122967. The next prime is 13021123007. The reversal of 13021123000 is 32112031.

It is a super-2 number, since 2×130211230002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021123007) 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, 4895671 + ... + 4898329.

It is an arithmetic number, because the mean of its divisors is an integer number (245085750).

Almost surely, 213021123000 is an apocalyptic number.

13021123000 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 13021123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488000).

13021123000 is an abundant number, since it is smaller than the sum of its proper divisors (18349853000).

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

13021123000 is a wasteful number, since it uses less digits than its factorization.

13021123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13021123000 its reverse (32112031), we get a palindrome (13053235031).

The spelling of 13021123000 in words is "thirteen billion, twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 83 100 118 125 166 200 236 250 295 332 415 472 500 590 664 830 1000 1180 1475 1660 2075 2360 2659 2950 3320 4150 4897 5318 5900 7375 8300 9794 10375 10636 11800 13295 14750 16600 19588 20750 21272 24485 26590 29500 39176 41500 48970 53180 59000 66475 83000 97940 106360 122425 132950 156881 195880 220697 244850 265900 313762 332375 441394 489700 531800 612125 627524 664750 784405 882788 979400 1103485 1224250 1255048 1329500 1568810 1765576 2206970 2448500 2659000 3137620 3922025 4413940 4897000 5517425 6275240 7844050 8827880 11034850 13021123 15688100 19610125 22069700 26042246 27587125 31376200 39220250 44139400 52084492 55174250 65105615 78440500 104168984 110348500 130211230 156881000 220697000 260422460 325528075 520844920 651056150 1302112300 1627640375 2604224600 3255280750 6510561500 13021123000