Search a number
-
+
2125100024400 = 243524341184109
BaseRepresentation
bin11110111011001001110…
…101010000001001010000
321112011020212121112201010
4132323021311100021100
5234304201101240100
64304131340410520
7306350650111203
oct36731165201120
97464225545633
102125100024400
1174a282620801
122a3a37846a40
1312551c22bc52
1474bd929393a
153a42aa96750
hex1eec9d50250

2125100024400 has 120 divisors (see below), whose sum is σ = 6965715628960. Its totient is φ = 553514411520.

The previous prime is 2125100024393. The next prime is 2125100024417. The reversal of 2125100024400 is 44200015212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21251000244002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 20540455 + ... + 20643654.

Almost surely, 22125100024400 is an apocalyptic number.

2125100024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125100024400 is an abundant number, since it is smaller than the sum of its proper divisors (4840615604560).

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

2125100024400 is a wasteful number, since it uses less digits than its factorization.

2125100024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41184173 (or 41184162 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 2125100024400 its reverse (44200015212), we get a palindrome (2169300039612).

The spelling of 2125100024400 in words is "two trillion, one hundred twenty-five billion, one hundred million, twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 25800 51600 41184109 82368218 123552327 164736436 205920545 247104654 329472872 411841090 494209308 617761635 658945744 823682180 988418616 1029602725 1235523270 1647364360 1770916687 1976837232 2059205450 2471046540 3088808175 3294728720 3541833374 4118410900 4942093080 5312750061 6177616350 7083666748 8236821800 8854583435 9884186160 10625500122 12355232700 14167333496 16473643600 17709166870 21251000244 24710465400 26563750305 28334666992 35418333740 42502000488 44272917175 49420930800 53127500610 70836667480 85004000976 88545834350 106255001220 132818751525 141673334960 177091668700 212510002440 265637503050 354183337400 425020004880 531275006100 708366674800 1062550012200 2125100024400