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312422232021400 = 235217415322125907
BaseRepresentation
bin100011100001001010111100…
…0001010001101100110011000
31111222012021101112001202122101
41013002111320022031212120
5311422211212344141100
63024244443023533144
7122543522104454404
oct10702257012154630
91458167345052571
10312422232021400
1190602585166426
122b05963145a1b4
13105433a0371087
1457214610b4104
15261bc44d3886a
hex11c257828d998

312422232021400 has 96 divisors (see below), whose sum is σ = 769295252733840. Its totient is φ = 117589454991360.

The previous prime is 312422232021329. The next prime is 312422232021479. The reversal of 312422232021400 is 4120232224213.

It is a super-2 number, since 2×3124222320214002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3057247 + ... + 25183153.

Almost surely, 2312422232021400 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 312422232021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384647626366920).

312422232021400 is an abundant number, since it is smaller than the sum of its proper divisors (456873020712440).

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

312422232021400 is a wasteful number, since it uses less digits than its factorization.

312422232021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22130093 (or 22130084 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312422232021400 its reverse (4120232224213), we get a palindrome (316542464245613).

The spelling of 312422232021400 in words is "three hundred twelve trillion, four hundred twenty-two billion, two hundred thirty-two million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 4153 8306 16612 20765 33224 41530 70601 83060 103825 141202 166120 207650 282404 353005 415300 564808 706010 830600 1412020 1765025 2824040 3530050 7060100 14120200 22125907 44251814 88503628 110629535 177007256 221259070 376140419 442518140 553147675 752280838 885036280 1106295350 1504561676 1880702095 2212590700 3009123352 3761404190 4425181400 7522808380 9403510475 15045616760 18807020950 37614041900 75228083800 91888891771 183777783542 367555567084 459444458855 735111134168 918888917710 1562111160107 1837777835420 2297222294275 3124222320214 3675555670840 4594444588550 6248444640428 7810555800535 9188889177100 12496889280856 15621111601070 18377778354200 31242223202140 39052779002675 62484446404280 78105558005350 156211116010700 312422232021400