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21302330323100 = 22521726347645561
BaseRepresentation
bin1001101011111110101011…
…10101001111000010011100
32210102111001000201122012212
410311333111311033002130
510243004133030314400
6113150053324415552
74326020414100221
oct465772565170234
983374030648185
1021302330323100
1168732a4131492
12248064b3a75b8
13bb6a5510c388
145390770c9948
1526e1c866c335
hex135fd5d4f09c

21302330323100 has 72 divisors (see below), whose sum is σ = 49131341205408. Its totient is φ = 7989207500800.

The previous prime is 21302330323051. The next prime is 21302330323121. The reversal of 21302330323100 is 132303320312.

It is a super-2 number, since 2×213023303231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23375681 + ... + 24269880.

It is an arithmetic number, because the mean of its divisors is an integer number (682379738964).

Almost surely, 221302330323100 is an apocalyptic number.

21302330323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302330323100 is an abundant number, since it is smaller than the sum of its proper divisors (27829010882308).

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

21302330323100 is a wasteful number, since it uses less digits than its factorization.

21302330323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47645855 (or 47645848 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 21302330323100 its reverse (132303320312), we get a palindrome (21434633643412).

The spelling of 21302330323100 in words is "twenty-one trillion, three hundred two billion, three hundred thirty million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 263 340 425 526 850 1052 1315 1700 2630 4471 5260 6575 8942 13150 17884 22355 26300 44710 89420 111775 223550 447100 47645561 95291122 190582244 238227805 476455610 809974537 952911220 1191139025 1619949074 2382278050 3239898148 4049872685 4764556100 8099745370 12530782543 16199490740 20249363425 25061565086 40498726850 50123130172 62653912715 80997453700 125307825430 213023303231 250615650860 313269563575 426046606462 626539127150 852093212924 1065116516155 1253078254300 2130233032310 4260466064620 5325582580775 10651165161550 21302330323100