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13054110400 = 26521572331
BaseRepresentation
bin11000010100001010…
…11110101011000000
31020200202121111222101
430022011132223000
5203213323013100
65555202520144
7641331051622
oct141205365300
936622544871
1013054110400
1155997833a1
122643966054
131300668ca6
148bba12c12
1551608e86a
hex30a15eac0

13054110400 has 126 divisors (see below), whose sum is σ = 32424832788. Its totient is φ = 5172710400.

The previous prime is 13054110397. The next prime is 13054110427. The reversal of 13054110400 is 401145031.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39438235 + ... + 39438565.

Almost surely, 213054110400 is an apocalyptic number.

13054110400 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 13054110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212416394).

13054110400 is an abundant number, since it is smaller than the sum of its proper divisors (19370722388).

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

13054110400 is an equidigital number, since it uses as much as digits as its factorization.

13054110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 13054110400 its reverse (401145031), we get a palindrome (13455255431).

The spelling of 13054110400 in words is "thirteen billion, fifty-four million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 157 160 200 314 320 331 400 628 662 785 800 1256 1324 1570 1600 1655 2512 2648 3140 3310 3925 5024 5296 6280 6620 7850 8275 10048 10592 12560 13240 15700 16550 21184 24649 25120 26480 31400 33100 49298 50240 51967 52960 62800 66200 98596 103934 105920 123245 125600 132400 197192 207868 246490 251200 259835 264800 394384 415736 492980 519670 529600 616225 788768 831472 985960 1039340 1232450 1299175 1577536 1662944 1971920 2078680 2464900 2598350 3325888 3943840 4157360 4929800 5196700 7887680 8158819 8314720 9859600 10393400 16317638 16629440 19719200 20786800 32635276 39438400 40794095 41573600 65270552 81588190 83147200 130541104 163176380 203970475 261082208 326352760 407940950 522164416 652705520 815881900 1305411040 1631763800 2610822080 3263527600 6527055200 13054110400