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13023122223000 = 233539007481963
BaseRepresentation
bin1011110110000010111010…
…0100101110111110011000
31201002222221210001011022010
42331200232210232332120
53201332323242114000
643410423442025520
72512614052301301
oct275405644567630
951088853034263
1013023122223000
114171090a8a0aa
121563b753482a0
137360c916c286
14330472c4b7a8
15178b6458ad50
hexbd82e92ef98

13023122223000 has 128 divisors (see below), whose sum is σ = 40636736824320. Its totient is φ = 3472439817600.

The previous prime is 13023122222993. The next prime is 13023122223017. The reversal of 13023122223000 is 32222132031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26780019 + ... + 27261981.

It is an arithmetic number, because the mean of its divisors is an integer number (317474506440).

Almost surely, 213023122223000 is an apocalyptic number.

13023122223000 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 13023122223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318368412160).

13023122223000 is an abundant number, since it is smaller than the sum of its proper divisors (27613614601320).

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

13023122223000 is a wasteful number, since it uses less digits than its factorization.

13023122223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490994 (or 490980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13023122223000 its reverse (32222132031), we get a palindrome (13055344355031).

The spelling of 13023122223000 in words is "thirteen trillion, twenty-three billion, one hundred twenty-two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 9007 18014 27021 36028 45035 54042 72056 90070 108084 135105 180140 216168 225175 270210 360280 450350 481963 540420 675525 900700 963926 1080840 1125875 1351050 1445889 1801400 1927852 2251750 2409815 2702100 2891778 3377625 3855704 4503500 4819630 5404200 5783556 6755250 7229445 9007000 9639260 11567112 12049075 13510500 14458890 19278520 24098150 27021000 28917780 36147225 48196300 57835560 60245375 72294450 96392600 120490750 144588900 180736125 240981500 289177800 361472250 481963000 722944500 1445889000 4341040741 8682081482 13023122223 17364162964 21705203705 26046244446 34728325928 43410407410 52092488892 65115611115 86820814820 104184977784 108526018525 130231222230 173641629640 217052037050 260462444460 325578055575 434104074100 520924888920 542630092625 651156111150 868208148200 1085260185250 1302312222300 1627890277875 2170520370500 2604624444600 3255780555750 4341040741000 6511561111500 13023122223000