Search a number
-
+
22100201310 = 23511194381971
BaseRepresentation
bin10100100101010001…
…100100111101011110
32010001012102112211110
4110211101210331132
5330230122420220
614052552002450
71411443416535
oct244521447536
963035375743
1022100201310
119410a95390
124349390426
1321128362c5
1410d91c531c
15895322be0
hex525464f5e

22100201310 has 128 divisors (see below), whose sum is σ = 62324951040. Its totient is φ = 4957545600.

The previous prime is 22100201293. The next prime is 22100201381. The reversal of 22100201310 is 1310200122.

It is a super-2 number, since 2×221002013102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228625 + ... + 310595.

It is an arithmetic number, because the mean of its divisors is an integer number (486913680).

Almost surely, 222100201310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100201310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31162475520).

22100201310 is an abundant number, since it is smaller than the sum of its proper divisors (40224749730).

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

22100201310 is a wasteful number, since it uses less digits than its factorization.

22100201310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82054.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22100201310 its reverse (1310200122), we get a palindrome (23410401432).

The spelling of 22100201310 in words is "twenty-two billion, one hundred million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 43 55 57 66 86 95 110 114 129 165 190 209 215 258 285 330 418 430 473 570 627 645 817 946 1045 1254 1290 1419 1634 2090 2365 2451 2838 3135 4085 4730 4902 6270 7095 8170 8987 12255 14190 17974 24510 26961 44935 53922 81971 89870 134805 163942 245913 269610 409855 491826 819710 901681 1229565 1557449 1803362 2459130 2705043 3114898 3524753 4508405 4672347 5410086 7049506 7787245 9016810 9344694 10574259 13525215 15574490 17131939 17623765 21148518 23361735 27050430 34263878 35247530 38772283 46723470 51395817 52871295 66970307 77544566 85659695 102791634 105742590 116316849 133940614 171319390 193861415 200910921 232633698 256979085 334851535 387722830 401821842 513958170 581584245 669703070 736673377 1004554605 1163168490 1473346754 2009109210 2210020131 3683366885 4420040262 7366733770 11050100655 22100201310