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21122041121300 = 22527238031133479
BaseRepresentation
bin1001100110101110110111…
…10000100000101000010100
32202210020200100210020200102
410303113123300200220110
510232030420011340200
6112531155353233232
74310005604133200
oct463273360405024
982706610706612
1021122041121300
116803897620759
122451714a02818
13ba2a525ab002
14530452b2bb00
152696758896d5
hex1335dbc20a14

21122041121300 has 108 divisors (see below), whose sum is σ = 53332133712480. Its totient is φ = 7239932038080.

The previous prime is 21122041121297. The next prime is 21122041121339. The reversal of 21122041121300 is 312114022112.

It is a super-2 number, since 2×211220411213002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18067961 + ... + 19201439.

Almost surely, 221122041121300 is an apocalyptic number.

21122041121300 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 21122041121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26666066856240).

21122041121300 is an abundant number, since it is smaller than the sum of its proper divisors (32210092591180).

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

21122041121300 is a wasteful number, since it uses less digits than its factorization.

21122041121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137310 (or 1137296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21122041121300 its reverse (312114022112), we get a palindrome (21434155143412).

The spelling of 21122041121300 in words is "twenty-one trillion, one hundred twenty-two billion, forty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 3803 4900 7606 15212 19015 26621 38030 53242 76060 95075 106484 133105 186347 190150 266210 372694 380300 532420 665525 745388 931735 1133479 1331050 1863470 2266958 2662100 3726940 4533916 4658675 5667395 7934353 9317350 11334790 15868706 18634700 22669580 28336975 31737412 39671765 55540471 56673950 79343530 111080942 113347900 158687060 198358825 222161884 277702355 396717650 555404710 793435300 1110809420 1388511775 2777023550 4310620637 5554047100 8621241274 17242482548 21553103185 30174344459 43106206370 60348688918 86212412740 107765515925 120697377836 150871722295 211220411213 215531031850 301743444590 422440822426 431062063700 603486889180 754358611475 844881644852 1056102056065 1508717222950 2112204112130 3017434445900 4224408224260 5280510280325 10561020560650 21122041121300