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21022112222010 = 23251492296845609
BaseRepresentation
bin1001100011110100101111…
…00010000000101100111010
32202102200202010221012021100
410301322113202000230322
510223411241212101020
6112413231450152230
74266540352404324
oct461722742005472
982380663835240
1021022112222010
116775478338679
122436286a22676
13b964b87340c3
145296932d8614
15266c779e6a90
hex131e97880b3a

21022112222010 has 96 divisors (see below), whose sum is σ = 55264609530000. Its totient is φ = 5543956712448.

The previous prime is 21022112221997. The next prime is 21022112222017. The reversal of 21022112222010 is 1022221122012.

It is a happy number.

21022112222010 is a `hidden beast` number, since 21 + 0 + 221 + 1 + 222 + 201 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3267240617601 + 17754871604409 = 1807551^2 + 4213653^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21022112222017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351915 + ... + 6493694.

Almost surely, 221022112222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022112222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632304765000).

21022112222010 is an abundant number, since it is smaller than the sum of its proper divisors (34242497307990).

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

21022112222010 is a wasteful number, since it uses less digits than its factorization.

21022112222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846000 (or 6845997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21022112222010 its reverse (1022221122012), we get a palindrome (22044333344022).

The spelling of 21022112222010 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 229 298 447 458 687 745 894 1145 1341 1374 1490 2061 2235 2290 2682 3435 4122 4470 6705 6870 10305 13410 20610 34121 68242 102363 170605 204726 307089 341210 511815 614178 1023630 1535445 3070890 6845609 13691218 20536827 34228045 41073654 61610481 68456090 102684135 123220962 205368270 308052405 616104810 1019995741 1567644461 2039991482 3059987223 3135288922 4702933383 5099978705 6119974446 7838222305 9179961669 9405866766 10199957410 14108800149 15299936115 15676444610 18359923338 23514666915 28217600298 30599872230 45899808345 47029333830 70544000745 91799616690 141088001490 233579024689 467158049378 700737074067 1167895123445 1401474148134 2102211222201 2335790246890 3503685370335 4204422444402 7007370740670 10511056111005 21022112222010