Search a number
-
+
21320352525400 = 2352193877629807
BaseRepresentation
bin1001101100100000010000…
…00010011110110001011000
32210111012120000200101001221
410312100020002132301120
510243303040221303100
6113202233523021424
74330226132223115
oct466201002366130
983435500611057
1021320352525400
11687aa021a8855
12248403ab0a874
13bb8667b145c6
14539ca685590c
1526e8d095e01a
hex13640809ec58

21320352525400 has 96 divisors (see below), whose sum is σ = 49883552159040. Its totient is φ = 8474266460160.

The previous prime is 21320352525383. The next prime is 21320352525403. The reversal of 21320352525400 is 452525302312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320352525403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33537297 + ... + 34167103.

It is an arithmetic number, because the mean of its divisors is an integer number (519620334990).

Almost surely, 221320352525400 is an apocalyptic number.

21320352525400 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 21320352525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24941776079520).

21320352525400 is an abundant number, since it is smaller than the sum of its proper divisors (28563199633640).

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

21320352525400 is a wasteful number, since it uses less digits than its factorization.

21320352525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630893 (or 630884 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 21320352525400 its reverse (452525302312), we get a palindrome (21772877827712).

The spelling of 21320352525400 in words is "twenty-one trillion, three hundred twenty billion, three hundred fifty-two million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 877 965 1544 1754 1930 3508 3860 4385 4825 7016 7720 8770 9650 17540 19300 21925 35080 38600 43850 87700 169261 175400 338522 629807 677044 846305 1259614 1354088 1692610 2519228 3149035 3385220 4231525 5038456 6298070 6770440 8463050 12596140 15745175 16926100 25192280 31490350 33852200 62980700 121552751 125961400 243105502 486211004 552340739 607763755 972422008 1104681478 1215527510 2209362956 2431055020 2761703695 3038818775 4418725912 4862110040 5523407390 6077637550 11046814780 12155275100 13808518475 22093629560 24310550200 27617036950 55234073900 106601762627 110468147800 213203525254 426407050508 533008813135 852814101016 1066017626270 2132035252540 2665044065675 4264070505080 5330088131350 10660176262700 21320352525400