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21305145400 = 23527111383451
BaseRepresentation
bin10011110101111000…
…101011100000111000
32000222210101112011021
4103311320223200320
5322113104123100
613442031112224
71352650514350
oct236570534070
960883345137
1021305145400
119043221090
124167072674
132016bc4916
141061785b60
1584a625a1a
hex4f5e2b838

21305145400 has 96 divisors (see below), whose sum is σ = 61757297280. Its totient is φ = 6640560000.

The previous prime is 21305145373. The next prime is 21305145409. The reversal of 21305145400 is 454150312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21305145409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676326 + ... + 707125.

It is an arithmetic number, because the mean of its divisors is an integer number (643305180).

Almost surely, 221305145400 is an apocalyptic number.

21305145400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21305145400 is an abundant number, since it is smaller than the sum of its proper divisors (40452151880).

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

21305145400 is a wasteful number, since it uses less digits than its factorization.

21305145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383485 (or 1383476 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 21305145400 its reverse (454150312), we get a palindrome (21759295712).

The spelling of 21305145400 in words is "twenty-one billion, three hundred five million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 1383451 2766902 5533804 6917255 9684157 11067608 13834510 15217961 19368314 27669020 30435922 34586275 38736628 48420785 55338040 60871844 69172550 76089805 77473256 96841570 106525727 121743688 138345100 152179610 193683140 213051454 242103925 276690200 304359220 380449025 387366280 426102908 484207850 532628635 608718440 760898050 852205816 968415700 1065257270 1521796100 1936831400 2130514540 2663143175 3043592200 4261029080 5326286350 10652572700 21305145400