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13110401525200 = 245272668898037
BaseRepresentation
bin1011111011001000000011…
…0100110110010111010000
31201102100020102110002200021
42332302000310312113100
53204300100242301300
643514500232233224
72522123654155300
oct276620064662720
951370212402607
1013110401525200
1141a50a9967711
121578a72b3b814
137413c840bba5
14334792689600
1517b071b44d1a
hexbec80d365d0

13110401525200 has 90 divisors (see below), whose sum is σ = 36640227827526. Its totient is φ = 4494994801920.

The previous prime is 13110401525197. The next prime is 13110401525201. The reversal of 13110401525200 is 252510401131.

It can be written as a sum of positive squares in 3 ways, for example, as 3441336647056 + 9669064878144 = 1855084^2 + 3109512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110401525201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 334429419 + ... + 334468618.

Almost surely, 213110401525200 is an apocalyptic number.

13110401525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110401525200 is an abundant number, since it is smaller than the sum of its proper divisors (23529826302326).

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

13110401525200 is a wasteful number, since it uses less digits than its factorization.

13110401525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668898069 (or 668898051 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 13110401525200 its reverse (252510401131), we get a palindrome (13362911926331).

The spelling of 13110401525200 in words is "thirteen trillion, one hundred ten billion, four hundred one million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 668898037 1337796074 2675592148 3344490185 4682286259 5351184296 6688980370 9364572518 10702368592 13377960740 16722450925 18729145036 23411431295 26755921480 32776003813 33444901850 37458290072 46822862590 53511842960 65552007626 66889803700 74916580144 93645725180 117057156475 131104015252 133779607400 163880019065 187291450360 234114312950 262208030504 267559214800 327760038130 374582900720 468228625900 524416061008 655520076260 819400095325 936457251800 1311040152520 1638800190650 1872914503600 2622080305040 3277600381300 6555200762600 13110401525200