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21002101320 = 23352337205661
BaseRepresentation
bin10011100011110100…
…101010001001001000
32000012200011021211110
4103203310222021020
5321003014220240
613352003530320
71342310626044
oct234364521110
960180137743
1021002101320
1189a8158632
1240a16899a0
131c9919c3b5
14103341d024
1582dc14c80
hex4e3d2a248

21002101320 has 128 divisors (see below), whose sum is σ = 67522947840. Its totient is φ = 5212247040.

The previous prime is 21002101319. The next prime is 21002101349. The reversal of 21002101320 is 2310120012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21002101296 and 21002101305.

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, 711 + ... + 204950.

It is an arithmetic number, because the mean of its divisors is an integer number (527523030).

Almost surely, 221002101320 is an apocalyptic number.

21002101320 is a gapful number since it is divisible by the number (20) 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 21002101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33761473920).

21002101320 is an abundant number, since it is smaller than the sum of its proper divisors (46520846520).

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

21002101320 is a wasteful number, since it uses less digits than its factorization.

21002101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205735 (or 205731 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21002101320 its reverse (2310120012), we get a palindrome (23312221332).

The spelling of 21002101320 in words is "twenty-one billion, two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 34040 51060 102120 205661 411322 616983 822644 1028305 1233966 1645288 2056610 2467932 3084915 4113220 4730203 4935864 6169830 7609457 8226440 9460406 12339660 14190609 15218914 18920812 22828371 23651015 24679320 28381218 30437828 37841624 38047285 45656742 47302030 56762436 60875656 70953045 76094570 91313484 94604060 113524872 114141855 141906090 152189140 175017511 182626968 189208120 228283710 283812180 304378280 350035022 456567420 525052533 567624360 700070044 875087555 913134840 1050105066 1400140088 1750175110 2100210132 2625262665 3500350220 4200420264 5250525330 7000700440 10501050660 21002101320