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210021011002000 = 24531116673572567
BaseRepresentation
bin101111110000001101010011…
…110000011001001010010000
31000112121210221100202210200001
4233300031103300121022100
5210011441012304031000
62022402153121135344
762144342303361532
oct5760152360311220
91015553840683601
10210021011002000
1160a12457524130
121b67b58b78a554
139025b863b1b63
1439c10dd40b852
1519431dd8a446a
hexbf0353c19290

210021011002000 has 160 divisors (see below), whose sum is σ = 554031436218624. Its totient is φ = 76366562816000.

The previous prime is 210021011001859. The next prime is 210021011002003. The reversal of 210021011002000 is 200110120012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210021011002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366519717 + ... + 367092283.

Almost surely, 2210021011002000 is an apocalyptic number.

210021011002000 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 210021011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277015718109312).

210021011002000 is an abundant number, since it is smaller than the sum of its proper divisors (344010425216624).

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

210021011002000 is a wasteful number, since it uses less digits than its factorization.

210021011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589274 (or 589258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210021011002000 its reverse (200110120012), we get a palindrome (210221121122012).

The spelling of 210021011002000 in words is "two hundred ten trillion, twenty-one billion, eleven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 16673 22000 33346 66692 83365 133384 166730 183403 266768 333460 366806 416825 572567 666920 733612 833650 917015 1145134 1333840 1467224 1667300 1834030 2084125 2290268 2862835 2934448 3334600 3668060 4168250 4580536 4585075 5725670 6298237 6669200 7336120 8336500 9161072 9170150 11451340 12596474 14314175 14672240 16673000 18340300 22902680 22925375 25192948 28628350 31491185 33346000 36680600 45805360 45850750 50385896 57256700 62982370 71570875 73361200 91701500 100771792 114513400 125964740 143141750 157455925 183403000 229026800 251929480 286283500 314911850 366806000 503858960 572567000 629823700 787279625 1145134000 1259647400 1574559250 2519294800 3149118500 6298237000 9546409591 12596474000 19092819182 38185638364 47732047955 76371276728 95464095910 105010505501 152742553456 190928191820 210021011002 238660239775 381856383640 420042022004 477320479550 525052527505 763712767280 840084044008 954640959100 1050105055010 1193301198875 1680168088016 1909281918200 2100210110020 2386602397750 2625262637525 3818563836400 4200420220040 4773204795500 5250525275050 8400840440080 9546409591000 10501050550100 13126313187625 19092819182000 21002101100200 26252626375250 42004202200400 52505252750500 105010505501000 210021011002000