Search a number
-
+
22102120110 = 23572394191051
BaseRepresentation
bin10100100101011000…
…111001011010101110
32010001100001000221010
4110211120321122232
5330231120320420
614053101050050
71411465630650
oct244530713256
963040030833
1022102120110
119412085a74
124349b56926
1321130587a5
1410d95646d0
158955a14e0
hex5256396ae

22102120110 has 128 divisors (see below), whose sum is σ = 61079961600. Its totient is φ = 5013993600.

The previous prime is 22102120081. The next prime is 22102120153. The reversal of 22102120110 is 1102120122.

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, 21029085 + ... + 21030135.

It is an arithmetic number, because the mean of its divisors is an integer number (477187200).

Almost surely, 222102120110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30539980800).

22102120110 is an abundant number, since it is smaller than the sum of its proper divisors (38977841490).

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

22102120110 is a wasteful number, since it uses less digits than its factorization.

22102120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22102120110 its sum of digits (12), we get a palindrome (22102120122).

Adding to 22102120110 its reverse (1102120122), we get a palindrome (23204240232).

The spelling of 22102120110 in words is "twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 239 419 478 717 838 1051 1195 1257 1434 1673 2095 2102 2390 2514 2933 3153 3346 3585 4190 5019 5255 5866 6285 6306 7170 7357 8365 8799 10038 10510 12570 14665 14714 15765 16730 17598 22071 25095 29330 31530 36785 43995 44142 50190 73570 87990 100141 110355 200282 220710 251189 300423 440369 500705 502378 600846 700987 753567 880738 1001410 1255945 1321107 1401974 1502115 1507134 1758323 2102961 2201845 2511890 2642214 3004230 3082583 3504935 3516646 3767835 4205922 4403690 5274969 6165166 6605535 7009870 7535670 8791615 9247749 10514805 10549938 13211070 15412915 17583230 18495498 21029610 26374845 30825830 46238745 52749690 92477490 105248191 210496382 315744573 526240955 631489146 736737337 1052481910 1473474674 1578722865 2210212011 3157445730 3683686685 4420424022 7367373370 11051060055 22102120110