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321244000212 = 2232337229137369
BaseRepresentation
bin1001010110010111010…
…00100110111111010100
31010201012001021001110210
410223023220212333110
520230401431001322
6403324421445420
732131503643122
oct4531350467724
91121161231423
10321244000212
11114269955073
1252313b70870
13243a7165235
141179672c912
15855275770c
hex4acba26fd4

321244000212 has 96 divisors (see below), whose sum is σ = 806812473600. Its totient is φ = 99221455872.

The previous prime is 321244000199. The next prime is 321244000213. The reversal of 321244000212 is 212000442123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321244000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269864 + ... + 2407232.

It is an arithmetic number, because the mean of its divisors is an integer number (8404296600).

Almost surely, 2321244000212 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 321244000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403406236800).

321244000212 is an abundant number, since it is smaller than the sum of its proper divisors (485568473388).

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

321244000212 is a wasteful number, since it uses less digits than its factorization.

321244000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137665 (or 137663 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 321244000212 its reverse (212000442123), we get a palindrome (533244442335).

The spelling of 321244000212 in words is "three hundred twenty-one billion, two hundred forty-four million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 229 276 444 458 687 851 916 1374 1702 2553 2748 3404 5106 5267 8473 10212 10534 15801 16946 21068 25419 31602 33892 50838 63204 101676 137369 194879 274738 389758 412107 549476 584637 779516 824214 1169274 1648428 2338548 3159487 5082653 6318974 9478461 10165306 12637948 15247959 18956922 20330612 30495918 31457501 37913844 60991836 62915002 94372503 116901019 125830004 188745006 233802038 350703057 377490012 467604076 701406114 723522523 1163927537 1402812228 1447045046 2170567569 2327855074 2894090092 3491782611 4341135138 4655710148 6983565222 8682270276 13967130444 26770333351 53540666702 80311000053 107081333404 160622000106 321244000212