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324042234100 = 225213991251527
BaseRepresentation
bin1001011011100100110…
…11000001100011110100
31010222102001122001201221
410231302123001203310
520302114302442400
6404510221400124
732261032354324
oct4556233014364
91128361561657
10324042234100
11115475436662
1252975109044
1324731ac4630
1411980213284
158668243c1a
hex4b726c18f4

324042234100 has 72 divisors (see below), whose sum is σ = 758028927488. Its totient is φ = 119525155200.

The previous prime is 324042234077. The next prime is 324042234107. The reversal of 324042234100 is 1432240423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324042234107) 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 23 ways as a sum of consecutive naturals, for example, 1162537 + ... + 1414063.

Almost surely, 2324042234100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324042234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379014463744).

324042234100 is an abundant number, since it is smaller than the sum of its proper divisors (433986693388).

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

324042234100 is a wasteful number, since it uses less digits than its factorization.

324042234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252545 (or 252538 counting only the distinct ones).

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

Adding to 324042234100 its reverse (1432240423), we get a palindrome (325474474523).

The spelling of 324042234100 in words is "three hundred twenty-four billion, forty-two million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 991 1300 1982 3964 4955 9910 12883 19820 24775 25766 49550 51532 64415 99100 128830 251527 257660 322075 503054 644150 1006108 1257635 1288300 2515270 3269851 5030540 6288175 6539702 12576350 13079404 16349255 25152700 32698510 65397020 81746275 163492550 249263257 326985100 498526514 997053028 1246316285 2492632570 3240422341 4985265140 6231581425 6480844682 12463162850 12961689364 16202111705 24926325700 32404223410 64808446820 81010558525 162021117050 324042234100