Search a number
-
+
312333232100420 = 225192578101394787
BaseRepresentation
bin100011100000100001011111…
…1010110011101010001000100
31111221212202122222000100000202
41013001002333112131101010
5311414231424404203140
63024135523410430032
7122534221440561206
oct10701027726352104
91457782588010022
10312333232100420
1190578864012523
122b044333592318
1310537b887b5c3b
14571b01ad44776
1526197866a6915
hex11c10bf59d444

312333232100420 has 96 divisors (see below), whose sum is σ = 693194605326720. Its totient is φ = 117882467942400.

The previous prime is 312333232100411. The next prime is 312333232100443. The reversal of 312333232100420 is 24001232333213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790946267 + ... + 791341053.

It is an arithmetic number, because the mean of its divisors is an integer number (7220777138820).

Almost surely, 2312333232100420 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 312333232100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346597302663360).

312333232100420 is an abundant number, since it is smaller than the sum of its proper divisors (380861373226300).

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

312333232100420 is a wasteful number, since it uses less digits than its factorization.

312333232100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403173 (or 403171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 312333232100420 its reverse (24001232333213), we get a palindrome (336334464433633).

The spelling of 312333232100420 in words is "three hundred twelve trillion, three hundred thirty-three billion, two hundred thirty-two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 257 380 514 1028 1285 2570 4883 5140 8101 9766 16202 19532 24415 32404 40505 48830 81010 97660 153919 162020 307838 394787 615676 769595 789574 1539190 1579148 1973935 2081957 3078380 3947870 4163914 7500953 7895740 8327828 10409785 15001906 20819570 30003812 37504765 39557183 41639140 75009530 79114366 101460259 150019060 158228732 197785915 202920518 395571830 405841036 507301295 791143660 1014602590 1927744921 2029205180 3198169487 3855489842 6396338974 7710979684 9638724605 12792677948 15990847435 19277449210 31981694870 38554898420 60765220253 63963389740 121530440506 243060881012 303826101265 607652202530 821929558159 1215304405060 1643859116318 3287718232636 4109647790795 8219295581590 15616661605021 16438591163180 31233323210042 62466646420084 78083308025105 156166616050210 312333232100420