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103301233040 = 24517312450219
BaseRepresentation
bin110000000110100111…
…0111011100110010000
3100212122020111100122002
41200031032323212100
53143030103424130
6115242251533132
710314620664425
oct1401516734620
9325566440562
10103301233040
113a89a942375
121802b45a1a8
139983734085
144ddd67bd4c
152a48e82b45
hex180d3bb990

103301233040 has 80 divisors (see below), whose sum is σ = 262506769920. Its totient is φ = 37635348480.

The previous prime is 103301233031. The next prime is 103301233043. The reversal of 103301233040 is 40332103301.

103301233040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1033012330402 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103301233043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182950 + ... + 1267269.

It is an arithmetic number, because the mean of its divisors is an integer number (3281334624).

Almost surely, 2103301233040 is an apocalyptic number.

103301233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301233040 is an abundant number, since it is smaller than the sum of its proper divisors (159205536880).

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

103301233040 is a wasteful number, since it uses less digits than its factorization.

103301233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450280 (or 2450274 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103301233040 its reverse (40332103301), we get a palindrome (143633336341).

The spelling of 103301233040 in words is "one hundred three billion, three hundred one million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 2450219 4900438 9800876 12251095 19601752 24502190 39203504 41653723 49004380 75956789 83307446 98008760 151913578 166614892 196017520 208268615 303827156 333229784 379783945 416537230 607654312 666459568 759567890 833074460 1215308624 1291265413 1519135780 1666148920 2582530826 3038271560 3332297840 5165061652 6076543120 6456327065 10330123304 12912654130 20660246608 25825308260 51650616520 103301233040