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21364132300 = 225273622861
BaseRepresentation
bin10011111001011001…
…101100100111001100
32001010220101100222021
4103321121230213030
5322223204213200
613451535255524
71354265062000
oct237131544714
961126340867
1021364132300
11907354a895
12418297a5a4
1320261a8704
14106953c700
158508c841a
hex4f966c9cc

21364132300 has 72 divisors (see below), whose sum is σ = 54064421600. Its totient is φ = 7324833600.

The previous prime is 21364132289. The next prime is 21364132301. The reversal of 21364132300 is 323146312.

It is a super-2 number, since 2×213641323002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21364132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277131 + ... + 345730.

Almost surely, 221364132300 is an apocalyptic number.

21364132300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21364132300 is an abundant number, since it is smaller than the sum of its proper divisors (32700289300).

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

21364132300 is a wasteful number, since it uses less digits than its factorization.

21364132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622896 (or 622875 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21364132300 its reverse (323146312), we get a palindrome (21687278612).

It can be divided in two parts, 21364 and 132300, that added together give a square (153664 = 3922).

The spelling of 21364132300 in words is "twenty-one billion, three hundred sixty-four million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 622861 1245722 2491444 3114305 4360027 6228610 8720054 12457220 15571525 17440108 21800135 30520189 31143050 43600270 61040378 62286100 87200540 109000675 122080756 152600945 213641323 218001350 305201890 427282646 436002700 610403780 763004725 854565292 1068206615 1526009450 2136413230 3052018900 4272826460 5341033075 10682066150 21364132300