Search a number
-
+
103411303202412 = 2233171933713216659
BaseRepresentation
bin10111100000110101010001…
…111111100011111001101100
3111120011000122112010100111000
4113200311101333203321230
5102023242322104434122
61003534255153200300
730532135332011262
oct2740652177437154
9446130575110430
10103411303202412
112aa4a53a804547
12b721978260090
13459184ac8b11a
141b771c3146432
15be4e72dde0ac
hex5e0d51fe3e6c

103411303202412 has 384 divisors, whose sum is σ = 299973518208000. Its totient is φ = 30616249466880.

The previous prime is 103411303202381. The next prime is 103411303202503. The reversal of 103411303202412 is 214202303114301.

103411303202412 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 11 + 30 + 3 + 202 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15529551139 + ... + 15529557797.

It is an arithmetic number, because the mean of its divisors is an integer number (781181037000).

Almost surely, 2103411303202412 is an apocalyptic number.

103411303202412 is a gapful number since it is divisible by the number (12) 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 103411303202412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149986759104000).

103411303202412 is an abundant number, since it is smaller than the sum of its proper divisors (196562215005588).

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

103411303202412 is a wasteful number, since it uses less digits than its factorization.

103411303202412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103411303202412 its reverse (214202303114301), we get a palindrome (317613606316713).

The spelling of 103411303202412 in words is "one hundred three trillion, four hundred eleven billion, three hundred three million, two hundred two thousand, four hundred twelve".