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21531021320000 = 26544011342333
BaseRepresentation
bin1001110010101000101001…
…11000001001111101000000
32211020100022220011222102002
410321110110320021331000
510310231012424220000
6113443114210243132
74351364531354423
oct471242470117500
984210286158362
1021531021320000
11695128924a275
1224b8a335864a8
13c0249c55579a
1454616d82d9ba
1527511084c8d5
hex139514e09f40

21531021320000 has 140 divisors (see below), whose sum is σ = 53523117148116. Its totient is φ = 8590924800000.

The previous prime is 21531021319987. The next prime is 21531021320047. The reversal of 21531021320000 is 2312013512.

It can be written as a sum of positive squares in 10 ways, for example, as 2753289764416 + 18777731555584 = 1659304^2 + 4333328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15368834 + ... + 16711166.

Almost surely, 221531021320000 is an apocalyptic number.

21531021320000 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 21531021320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26761558574058).

21531021320000 is an abundant number, since it is smaller than the sum of its proper divisors (31992095828116).

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

21531021320000 is an equidigital number, since it uses as much as digits as its factorization.

21531021320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342766 (or 1342741 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 21531021320000 its reverse (2312013512), we get a palindrome (21533333333512).

The spelling of 21531021320000 in words is "twenty-one trillion, five hundred thirty-one billion, twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 401 500 625 800 802 1000 1250 1600 1604 2000 2005 2500 3208 4000 4010 5000 6416 8000 8020 10000 10025 12832 16040 20000 20050 25664 32080 40000 40100 50125 64160 80200 100250 128320 160400 200500 250625 320800 401000 501250 641600 802000 1002500 1342333 1604000 2005000 2684666 3208000 4010000 5369332 6711665 8020000 10738664 13423330 16040000 21477328 26846660 33558325 42954656 53693320 67116650 85909312 107386640 134233300 167791625 214773280 268466600 335583250 429546560 536933200 538275533 671166500 838958125 1073866400 1076551066 1342333000 1677916250 2147732800 2153102132 2684666000 2691377665 3355832500 4306204264 5369332000 5382755330 6711665000 8612408528 10738664000 10765510660 13423330000 13456888325 17224817056 21531021320 26846660000 26913776650 34449634112 43062042640 53693320000 53827553300 67284441625 86124085280 107655106600 134568883250 172248170560 215310213200 269137766500 336422208125 430620426400 538275533000 672844416250 861240852800 1076551066000 1345688832500 2153102132000 2691377665000 4306204264000 5382755330000 10765510660000 21531021320000