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21302424214300 = 22524113139661933
BaseRepresentation
bin1001101011111110110110…
…11011011001101100011100
32210102111021120101210201201
410311333123123121230130
510243004331044324200
6113150110521045244
74326022634130415
oct465773333315434
983374246353651
1021302424214300
116873342130319
122480676926824
13bb6a6b6c44b8
1453908576a80c
1526e1d1a16c6a
hex135fdb6d9b1c

21302424214300 has 72 divisors (see below), whose sum is σ = 47715210374832. Its totient is φ = 8249681856000.

The previous prime is 21302424214277. The next prime is 21302424214301. The reversal of 21302424214300 is 341242420312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302424214301) 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, 19293867 + ... + 20368066.

It is an arithmetic number, because the mean of its divisors is an integer number (662711255206).

Almost surely, 221302424214300 is an apocalyptic number.

21302424214300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302424214300 is an abundant number, since it is smaller than the sum of its proper divisors (26412786160532).

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

21302424214300 is a wasteful number, since it uses less digits than its factorization.

21302424214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39662119 (or 39662112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21302424214300 its reverse (341242420312), we get a palindrome (21643666634612).

The spelling of 21302424214300 in words is "twenty-one trillion, three hundred two billion, four hundred twenty-four million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 131 164 205 262 410 524 655 820 1025 1310 2050 2620 3275 4100 5371 6550 10742 13100 21484 26855 53710 107420 134275 268550 537100 39661933 79323866 158647732 198309665 396619330 793238660 991548325 1626139253 1983096650 3252278506 3966193300 5195713223 6504557012 8130696265 10391426446 16261392530 20782852892 25978566115 32522785060 40653481325 51957132230 81306962650 103914264460 129892830575 162613925300 213024242143 259785661150 426048484286 519571322300 852096968572 1065121210715 2130242421430 4260484842860 5325606053575 10651212107150 21302424214300