Search a number
-
+
2013103412232 = 23311431559113749
BaseRepresentation
bin11101010010110110010…
…100000101010000001000
321010110011122020011100020
4131102312110011100020
5230440313433142412
64140450144340440
7265304402446053
oct35226624052010
97113148204306
102013103412232
117068304383a0
122861a0314720
13117ab11a2a33
146d612c57a9a
153757355a18c
hex1d4b6505408

2013103412232 has 128 divisors (see below), whose sum is σ = 5621616000000. Its totient is φ = 595457130240.

The previous prime is 2013103412213. The next prime is 2013103412239. The reversal of 2013103412232 is 2322143013102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2013103412239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17640894 + ... + 17754642.

It is an arithmetic number, because the mean of its divisors is an integer number (43918875000).

Almost surely, 22013103412232 is an apocalyptic number.

2013103412232 is a gapful number since it is divisible by the number (22) 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 2013103412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810808000000).

2013103412232 is an abundant number, since it is smaller than the sum of its proper divisors (3608512587768).

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

2013103412232 is a wasteful number, since it uses less digits than its factorization.

2013103412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115371 (or 115367 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2013103412232 its reverse (2322143013102), we get a palindrome (4335246425334).

The spelling of 2013103412232 in words is "two trillion, thirteen billion, one hundred three million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1559 1892 2838 3118 3784 4677 5676 6236 9354 11352 12472 17149 18708 34298 37416 51447 67037 68596 102894 113749 134074 137192 201111 205788 227498 268148 341247 402222 411576 454996 536296 682494 737407 804444 909992 1251239 1364988 1474814 1608888 2212221 2502478 2729976 2949628 3753717 4424442 4891207 5004956 5899256 7507434 8848884 9782414 10009912 14673621 15014868 17697768 19564828 29347242 30029736 39129656 53803277 58694484 107606554 117388968 161409831 177334691 215213108 322819662 354669382 430426216 532004073 645639324 709338764 1064008146 1291278648 1418677528 1950681601 2128016292 3901363202 4256032584 5852044803 7625391713 7802726404 11704089606 15250783426 15605452808 22876175139 23408179212 30501566852 45752350278 46816358424 61003133704 83879308843 91504700556 167758617686 183009401112 251637926529 335517235372 503275853058 671034470744 1006551706116 2013103412232