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1301324442000 = 243531119717037
BaseRepresentation
bin10010111011111100111…
…110110010100110010000
311121101221112112002002120
4102323330332302212100
5132310103024121000
62433453055014240
7163006014151332
oct22737476624620
94541845462076
101301324442000
114619857a4060
12190256b0a380
139593960c62b
1446dad42d452
1523cb53426a0
hex12efcfb2990

1301324442000 has 160 divisors (see below), whose sum is σ = 4576876596864. Its totient is φ = 315472576000.

The previous prime is 1301324441999. The next prime is 1301324442001. The reversal of 1301324442000 is 2444231031.

It is an interprime number because it is at equal distance from previous prime (1301324441999) and next prime (1301324442001).

It is a super-2 number, since 2×13013244420002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1301324442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9792519 + ... + 9924518.

Almost surely, 21301324442000 is an apocalyptic number.

1301324442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301324442000 is an abundant number, since it is smaller than the sum of its proper divisors (3275552154864).

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

1301324442000 is a wasteful number, since it uses less digits than its factorization.

1301324442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19717074 (or 19717058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1301324442000 its reverse (2444231031), we get a palindrome (1303768673031).

The spelling of 1301324442000 in words is "one trillion, three hundred one billion, three hundred twenty-four million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 19717037 39434074 59151111 78868148 98585185 118302222 157736296 197170370 216887407 236604444 295755555 315472592 394340740 433774814 473208888 492925925 591511110 650662221 788681480 867549628 946417776 985851850 1084437035 1183022220 1301324442 1478777775 1577362960 1735099256 1971703700 2168874070 2366044440 2464629625 2602648884 2957555550 3253311105 3470198512 3943407400 4337748140 4732088880 4929259250 5205297768 5422185175 5915111100 6506622210 7393888875 7886814800 8675496280 9858518500 10410595536 10844370350 11830222200 13013244420 14787777750 16266555525 17350992560 19717037000 21688740700 23660444400 26026488840 27110925875 29575555500 32533111050 39434074000 43377481400 52052977680 54221851750 59151111000 65066222100 81332777625 86754962800 108443703500 118302222000 130132444200 162665555250 216887407000 260264888400 325331110500 433774814000 650662221000 1301324442000