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13022211400 = 23521117773331
BaseRepresentation
bin11000010000010111…
…10010110101001000
31020121112120212202221
430020023302311020
5203132141231100
65552103103424
7640462653622
oct141013626510
936545525687
1013022211400
115582776190
122635141b74
1312c6b7a843
148b76abc12
1551338d01a
hex3082f2d48

13022211400 has 96 divisors (see below), whose sum is σ = 33057571680. Its totient is φ = 4731264000.

The previous prime is 13022211313. The next prime is 13022211437. The reversal of 13022211400 is 411222031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3907735 + ... + 3911065.

It is an arithmetic number, because the mean of its divisors is an integer number (344349705).

Almost surely, 213022211400 is an apocalyptic number.

13022211400 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 13022211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528785840).

13022211400 is an abundant number, since it is smaller than the sum of its proper divisors (20035360280).

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

13022211400 is a wasteful number, since it uses less digits than its factorization.

13022211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13022211400 its reverse (411222031), we get a palindrome (13433433431).

It can be divided in two parts, 13022 and 211400, that added together give a palindrome (224422).

The spelling of 13022211400 in words is "thirteen billion, twenty-two million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1777 2200 3331 3554 6662 7108 8885 13324 14216 16655 17770 19547 26648 33310 35540 36641 39094 44425 66620 71080 73282 78188 83275 88850 97735 133240 146564 156376 166550 177700 183205 195470 293128 333100 355400 366410 390940 488675 666200 732820 781880 916025 977350 1465640 1832050 1954700 3664100 3909400 5919187 7328200 11838374 23676748 29595935 47353496 59191870 65111057 118383740 130222114 147979675 236767480 260444228 295959350 325555285 520888456 591918700 651110570 1183837400 1302221140 1627776425 2604442280 3255552850 6511105700 13022211400