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2103004324240 = 245172837545057
BaseRepresentation
bin11110100110100100110…
…100110110000110010000
321110001012222122200021221
4132212210310312012100
5233423423101333430
64250035025054424
7304636256546251
oct36464464660620
97401188580257
102103004324240
11740974130186
1229b6aba87414
1312340a610661
1473b00920b28
1539a85d6257a
hex1e9a4d36190

2103004324240 has 80 divisors (see below), whose sum is σ = 5178936174192. Its totient is φ = 791438753792.

The previous prime is 2103004324229. The next prime is 2103004324241. The reversal of 2103004324240 is 424234003012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 235310367744 + 1867693956496 = 485088^2 + 1366636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2103004324241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3585792 + ... + 4130848.

Almost surely, 22103004324240 is an apocalyptic number.

2103004324240 is a gapful number since it is divisible by the number (20) 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 2103004324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589468087096).

2103004324240 is an abundant number, since it is smaller than the sum of its proper divisors (3075931849952).

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

2103004324240 is a wasteful number, since it uses less digits than its factorization.

2103004324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547924 (or 547918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2103004324240 its reverse (424234003012), we get a palindrome (2527238327252).

The spelling of 2103004324240 in words is "two trillion, one hundred three billion, four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2837 5674 11348 14185 22696 28370 45392 48229 56740 96458 113480 192916 226960 241145 385832 482290 545057 771664 964580 1090114 1929160 2180228 2725285 3858320 4360456 5450570 8720912 9265969 10901140 18531938 21802280 37063876 43604560 46329845 74127752 92659690 148255504 185319380 370638760 741277520 1546326709 3092653418 6185306836 7731633545 12370613672 15463267090 24741227344 26287554053 30926534180 52575108106 61853068360 105150216212 123706136720 131437770265 210300432424 262875540530 420600864848 525751081060 1051502162120 2103004324240