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323130212000 = 2553257314329
BaseRepresentation
bin1001011001111000000…
…11111011111010100000
31010220001111111112121122
410230330003323322200
520243232313241000
6404235521511412
732226316324631
oct4547403737240
91126044445548
10323130212000
11115047642992
125275b7a2568
1324617b7bb9b
14118d5047888
158613140085
hex4b3c0fbea0

323130212000 has 96 divisors (see below), whose sum is σ = 797022691920. Its totient is φ = 128748748800.

The previous prime is 323130211991. The next prime is 323130212021. The reversal of 323130212000 is 212031323.

It can be written as a sum of positive squares in 8 ways, for example, as 183872870416 + 139257341584 = 428804^2 + 373172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 323130212000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870836 + ... + 1185164.

Almost surely, 2323130212000 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 323130212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398511345960).

323130212000 is an abundant number, since it is smaller than the sum of its proper divisors (473892479920).

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

323130212000 is a wasteful number, since it uses less digits than its factorization.

323130212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314611 (or 314593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 323130212000 its reverse (212031323), we get a palindrome (323342243323).

The spelling of 323130212000 in words is "three hundred twenty-three billion, one hundred thirty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 800 1000 1028 1285 2000 2056 2570 4000 4112 5140 6425 8224 10280 12850 20560 25700 32125 41120 51400 64250 102800 128500 205600 257000 314329 514000 628658 1028000 1257316 1571645 2514632 3143290 5029264 6286580 7858225 10058528 12573160 15716450 25146320 31432900 39291125 50292640 62865800 78582250 80782553 125731600 157164500 161565106 251463200 314329000 323130212 403912765 628658000 646260424 807825530 1257316000 1292520848 1615651060 2019563825 2585041696 3231302120 4039127650 6462604240 8078255300 10097819125 12925208480 16156510600 20195638250 32313021200 40391276500 64626042400 80782553000 161565106000 323130212000