Search a number
-
+
13110330211400 = 2352281233279897
BaseRepresentation
bin1011111011000111110010…
…0100110011110001001000
31201102100001110020222112102
42332301330210303301020
53204244424013231100
643514445203532532
72522122130050322
oct276617444636110
951370043228472
1013110330211400
1141a5072689594
121578a5308a148
137413b6700386
14334787004612
1517b06a759cd5
hexbec7c933c48

13110330211400 has 48 divisors (see below), whose sum is σ = 30589993024740. Its totient is φ = 5225469670400.

The previous prime is 13110330211351. The next prime is 13110330211423. The reversal of 13110330211400 is 411203301131.

It can be written as a sum of positive squares in 6 ways, for example, as 10177516409284 + 2932813802116 = 3190222^2 + 1712546^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116583749 + ... + 116696148.

Almost surely, 213110330211400 is an apocalyptic number.

13110330211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110330211400 is an abundant number, since it is smaller than the sum of its proper divisors (17479662813340).

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

13110330211400 is a wasteful number, since it uses less digits than its factorization.

13110330211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233280194 (or 233280185 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13110330211400 its reverse (411203301131), we get a palindrome (13521533512531).

The spelling of 13110330211400 in words is "thirteen trillion, one hundred ten billion, three hundred thirty million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 562 1124 1405 2248 2810 5620 7025 11240 14050 28100 56200 233279897 466559794 933119588 1166399485 1866239176 2332798970 4665597940 5831997425 9331195880 11663994850 23327989700 46655979400 65551651057 131103302114 262206604228 327758255285 524413208456 655516510570 1311033021140 1638791276425 2622066042280 3277582552850 6555165105700 13110330211400