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20021210210100 = 22352119091667367
BaseRepresentation
bin1001000110101100011010…
…00111110101111100110100
32121220000020120012211001210
410203112031013311330310
510111011414303210400
6110325341134321420
74134325152600051
oct443261507657464
977800216184053
1020021210210100
116419a472368a0
1222b42b2959270
13b22cb8619208
144d3063170028
1524abe6ea7950
hex12358d1f5f34

20021210210100 has 144 divisors (see below), whose sum is σ = 63201265860096. Its totient is φ = 4853085552000.

The previous prime is 20021210210083. The next prime is 20021210210123. The reversal of 20021210210100 is 101201212002.

It is a super-2 number, since 2×200212102101002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29666617 + ... + 30333983.

It is an arithmetic number, because the mean of its divisors is an integer number (438897679584).

Almost surely, 220021210210100 is an apocalyptic number.

20021210210100 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 20021210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600632930048).

20021210210100 is an abundant number, since it is smaller than the sum of its proper divisors (43180055649996).

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

20021210210100 is a wasteful number, since it uses less digits than its factorization.

20021210210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676486 (or 676479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021210210100 its reverse (101201212002), we get a palindrome (20122411422102).

The spelling of 20021210210100 in words is "twenty trillion, twenty-one billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9091 18182 27273 36364 45455 54546 90910 100001 109092 136365 181820 200002 227275 272730 300003 400004 454550 500005 545460 600006 667367 681825 909100 1000010 1200012 1334734 1363650 1500015 2000020 2002101 2500025 2669468 2727300 3000030 3336835 4004202 5000050 6000060 6673670 7341037 7500075 8008404 10000100 10010505 13347340 14682074 15000150 16684175 20021010 22023111 29364148 30000300 33368350 36705185 40042020 44046222 50052525 66736700 73410370 88092444 100105050 110115555 146820740 183525925 200210100 220231110 367051850 440462220 550577775 734103700 1101155550 2202311100 6067033397 12134066794 18201100191 24268133588 30335166985 36402200382 60670333970 66737367367 72804400764 91005500955 121340667940 133474734734 151675834925 182011001910 200212102101 266949469468 303351669850 333686836835 364022003820 400424204202 455027504775 606703339700 667373673670 800848408404 910055009550 1001060510505 1334747347340 1668434184175 1820110019100 2002121021010 3336868368350 4004242042020 5005302552525 6673736736700 10010605105050 20021210210100