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11521125434020 = 2252926973843901
BaseRepresentation
bin1010011110100111100010…
…0101101100001010100100
31111210102001001002122001011
42213221320211230022210
53002230231102342040
640300422034112004
72266242141243436
oct247517045541244
944712031078034
1011521125434020
113742099a52694
121360a5571b604
1365758c164037
142bb8a8320656
1514ea56c653ea
hexa7a7896c2a4

11521125434020 has 48 divisors (see below), whose sum is σ = 25121695460400. Its totient is φ = 4432997004800.

The previous prime is 11521125434009. The next prime is 11521125434029. The reversal of 11521125434020 is 2043452112511.

It can be written as a sum of positive squares in 8 ways, for example, as 763355184804 + 10757770249216 = 873702^2 + 3279904^2 .

It is not an unprimeable number, because it can be changed into a prime (11521125434029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36765931 + ... + 37077970.

It is an arithmetic number, because the mean of its divisors is an integer number (523368655425).

Almost surely, 211521125434020 is an apocalyptic number.

11521125434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11521125434020 is an abundant number, since it is smaller than the sum of its proper divisors (13600570026380).

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

11521125434020 is a wasteful number, since it uses less digits than its factorization.

11521125434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73844208 (or 73844206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 11521125434020 its reverse (2043452112511), we get a palindrome (13564577546531).

The spelling of 11521125434020 in words is "eleven trillion, five hundred twenty-one billion, one hundred twenty-five million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 538 580 1076 1345 2690 5380 7801 15602 31204 39005 78010 156020 73843901 147687802 295375604 369219505 738439010 1476878020 2141473129 4282946258 8565892516 10707365645 19864009369 21414731290 39728018738 42829462580 79456037476 99320046845 198640093690 397280187380 576056271701 1152112543402 2304225086804 2880281358505 5760562717010 11521125434020