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21100221101220 = 2235837177590357
BaseRepresentation
bin1001100110000110001110…
…01011101111010010100100
32202201011100200120101020120
410303003013023233102210
510231201223100214340
6112513150250401540
74305304102050252
oct463030713572244
982634320511216
1021100221101220
1167a560a803708
1224494454302b0
13ba0985b23a21
1452d382c3b5d2
15268ce9e5d4d0
hex1330c72ef4a4

21100221101220 has 96 divisors (see below), whose sum is σ = 59800866185088. Its totient is φ = 5558149788672.

The previous prime is 21100221101207. The next prime is 21100221101269. The reversal of 21100221101220 is 2210112200112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21100221101220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35446282 + ... + 36036638.

It is an arithmetic number, because the mean of its divisors is an integer number (622925689428).

Almost surely, 221100221101220 is an apocalyptic number.

21100221101220 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 21100221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29900433092544).

21100221101220 is an abundant number, since it is smaller than the sum of its proper divisors (38700645083868).

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

21100221101220 is a wasteful number, since it uses less digits than its factorization.

21100221101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597629 (or 597627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21100221101220 its reverse (2210112200112), we get a palindrome (23310333301332).

The spelling of 21100221101220 in words is "twenty-one trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 7177 14354 21531 28708 35885 43062 71770 86124 107655 143540 215310 430620 590357 595691 1180714 1191382 1771071 1787073 2361428 2382764 2951785 2978455 3542142 3574146 5903570 5956910 7084284 7148292 8855355 8935365 11807140 11913820 17710710 17870730 35421420 35741460 48999631 97999262 146998893 195998524 244998155 293997786 489996310 587995572 734994465 979992620 1469988930 2939977860 4236992189 8473984378 12710976567 16947968756 21184960945 25421953134 42369921890 50843906268 63554882835 84739843780 127109765670 254219531340 351670351687 703340703374 1055011055061 1406681406748 1758351758435 2110022110122 3516703516870 4220044220244 5275055275305 7033407033740 10550110550610 21100221101220