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13213332021000 = 2335326771645291
BaseRepresentation
bin1100000001000111011111…
…1101100001111100001000
31201210011220211100001102110
43000101313331201330020
53212441400444133000
644034042042102320
72532426454016316
oct300216775417410
951704824301373
1013213332021000
114234819500671
1215949ba1aa9a0
1374b0200a8bc7
143397589bd0b6
1517da98294850
hexc0477f61f08

13213332021000 has 128 divisors (see below), whose sum is σ = 41241020895360. Its totient is φ = 3522236832000.

The previous prime is 13213332020969. The next prime is 13213332021049. The reversal of 13213332021000 is 12023331231.

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, 7208355 + ... + 8853645.

It is an arithmetic number, because the mean of its divisors is an integer number (322195475745).

Almost surely, 213213332021000 is an apocalyptic number.

13213332021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213332021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20620510447680).

13213332021000 is an abundant number, since it is smaller than the sum of its proper divisors (28027688874360).

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

13213332021000 is a wasteful number, since it uses less digits than its factorization.

13213332021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647992 (or 1647978 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13213332021000 its reverse (12023331231), we get a palindrome (13225355352231).

The spelling of 13213332021000 in words is "thirteen trillion, two hundred thirteen billion, three hundred thirty-two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2677 3000 5354 8031 10708 13385 16062 21416 26770 32124 40155 53540 64248 66925 80310 107080 133850 160620 200775 267700 321240 334625 401550 535400 669250 803100 1003875 1338500 1606200 1645291 2007750 2677000 3290582 4015500 4935873 6581164 8031000 8226455 9871746 13162328 16452910 19743492 24679365 32905820 39486984 41132275 49358730 65811640 82264550 98717460 123396825 164529100 197434920 205661375 246793650 329058200 411322750 493587300 616984125 822645500 987174600 1233968250 1645291000 2467936500 4404444007 4935873000 8808888014 13213332021 17617776028 22022220035 26426664042 35235552056 44044440070 52853328084 66066660105 88088880140 105706656168 110111100175 132133320210 176177760280 220222200350 264266640420 330333300525 440444400700 528533280840 550555500875 660666601050 880888801400 1101111001750 1321333202100 1651666502625 2202222003500 2642666404200 3303333005250 4404444007000 6606666010500 13213332021000