Search a number
-
+
21031210233200 = 2452435572195233
BaseRepresentation
bin1001100100000101101011…
…10100001010110101110000
32202110120020012110001100202
410302002311310022311300
510224033404304430300
6112421334332134332
74300311665255306
oct462026564126560
982416205401322
1021031210233200
116779316992092
122437ba59073a8
13b973085ac88b
14529cb7744276
1526710b5d3ad5
hex1320b5d0ad70

21031210233200 has 120 divisors (see below), whose sum is σ = 51795387146448. Its totient is φ = 8202089226240.

The previous prime is 21031210233197. The next prime is 21031210233203. The reversal of 21031210233200 is 233201213012.

It is an interprime number because it is at equal distance from previous prime (21031210233197) and next prime (21031210233203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031210233203) 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, 8482784 + ... + 10678016.

Almost surely, 221031210233200 is an apocalyptic number.

21031210233200 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 21031210233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25897693573224).

21031210233200 is an abundant number, since it is smaller than the sum of its proper divisors (30764176913248).

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

21031210233200 is a wasteful number, since it uses less digits than its factorization.

21031210233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195851 (or 2195840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21031210233200 its reverse (233201213012), we get a palindrome (21264411446212).

The spelling of 21031210233200 in words is "twenty-one trillion, thirty-one billion, two hundred ten million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 557 688 860 1075 1114 1720 2150 2228 2785 3440 4300 4456 5570 8600 8912 11140 13925 17200 22280 23951 27850 44560 47902 55700 95804 111400 119755 191608 222800 239510 383216 479020 598775 958040 1197550 1916080 2195233 2395100 4390466 4790200 8780932 9580400 10976165 17561864 21952330 35123728 43904660 54880825 87809320 94395019 109761650 175618640 188790038 219523300 377580076 439046600 471975095 755160152 878093200 943950190 1222744781 1510320304 1887900380 2359875475 2445489562 3775800760 4719750950 4890979124 6113723905 7551601520 9439501900 9781958248 12227447810 18879003800 19563916496 24454895620 30568619525 37758007600 48909791240 52578025583 61137239050 97819582480 105156051166 122274478100 210312102332 244548956200 262890127915 420624204664 489097912400 525780255830 841248409328 1051560511660 1314450639575 2103121023320 2628901279150 4206242046640 5257802558300 10515605116600 21031210233200