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2321412010000 = 2454298004869
BaseRepresentation
bin100001110001111110111…
…100000011000000010000
322012220222012020200112121
4201301332330003000100
5301013222433310000
64534235243504024
7326500516340506
oct41617674030020
98186865220477
102321412010000
11815561619116
12315aa4228014
1313aba6462a85
14804dd634676
15405ba370b1a
hex21c7ef03010

2321412010000 has 100 divisors (see below), whose sum is σ = 5814177227100. Its totient is φ = 896545216000.

The previous prime is 2321412009991. The next prime is 2321412010007. The reversal of 2321412010000 is 102141232.

It can be written as a sum of positive squares in 10 ways, for example, as 2224822829056 + 96589180944 = 1491584^2 + 310788^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2321412010007) 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 19 ways as a sum of consecutive naturals, for example, 3712435 + ... + 4292434.

It is an arithmetic number, because the mean of its divisors is an integer number (58141772271).

Almost surely, 22321412010000 is an apocalyptic number.

2321412010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321412010000 is an abundant number, since it is smaller than the sum of its proper divisors (3492765217100).

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

2321412010000 is an equidigital number, since it uses as much as digits as its factorization.

2321412010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004926 (or 8004905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2321412010000 its reverse (102141232), we get a palindrome (2321514151232).

The spelling of 2321412010000 in words is "two trillion, three hundred twenty-one billion, four hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 8004869 16009738 32019476 40024345 64038952 80048690 128077904 160097380 200121725 232141201 320194760 400243450 464282402 640389520 800486900 928564804 1000608625 1160706005 1600973800 1857129608 2001217250 2321412010 3201947600 3714259216 4002434500 4642824020 5003043125 5803530025 8004869000 9285648040 10006086250 11607060050 16009738000 18571296080 20012172500 23214120100 29017650125 40024345000 46428240200 58035300250 80048690000 92856480400 116070600500 145088250625 232141201000 290176501250 464282402000 580353002500 1160706005000 2321412010000