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13011123200 = 210524191213
BaseRepresentation
bin11000001111000010…
…11111110000000000
31020120202201112121212
430013201133300000
5203121321420300
65551025305252
7640266502535
oct140741376000
936522645555
1013011123200
115577492489
122631495228
1312c479788a
148b6022d8c
155123ec935
hex30785fc00

13011123200 has 132 divisors (see below), whose sum is σ = 32355455160. Its totient is φ = 5187747840.

The previous prime is 13011123157. The next prime is 13011123233. The reversal of 13011123200 is 232111031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10725794 + ... + 10727006.

Almost surely, 213011123200 is an apocalyptic number.

13011123200 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 13011123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177727580).

13011123200 is an abundant number, since it is smaller than the sum of its proper divisors (19344331960).

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

13011123200 is a wasteful number, since it uses less digits than its factorization.

13011123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13011123200 its reverse (232111031), we get a palindrome (13243234231).

The spelling of 13011123200 in words is "thirteen billion, eleven million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 419 512 640 800 838 1024 1213 1280 1600 1676 2095 2426 2560 3200 3352 4190 4852 5120 6065 6400 6704 8380 9704 10475 12130 12800 13408 16760 19408 20950 24260 25600 26816 30325 33520 38816 41900 48520 53632 60650 67040 77632 83800 97040 107264 121300 134080 155264 167600 194080 214528 242600 268160 310528 335200 388160 429056 485200 508247 536320 621056 670400 776320 970400 1016494 1072640 1242112 1340800 1552640 1940800 2032988 2145280 2541235 2681600 3105280 3881600 4065976 5082470 5363200 6210560 7763200 8131952 10164940 10726400 12706175 15526400 16263904 20329880 25412350 31052800 32527808 40659760 50824700 65055616 81319520 101649400 130111232 162639040 203298800 260222464 325278080 406597600 520444928 650556160 813195200 1301112320 1626390400 2602224640 3252780800 6505561600 13011123200