Search a number
-
+
22210101220120 = 23511174197086551
BaseRepresentation
bin1010000110011001100010…
…01100011001001100011000
32220122021011010211012010221
411003030301030121030120
510402342241403020440
6115123102445245424
74451425004312212
oct503146114311430
986567133735127
1022210101220120
117093284139220
1225a8571b63874
13c515328046a8
1456ad9057d5b2
15287b07edbd4a
hex143331319318

22210101220120 has 128 divisors (see below), whose sum is σ = 57860279769600. Its totient is φ = 7583175424000.

The previous prime is 22210101220091. The next prime is 22210101220127. The reversal of 22210101220120 is 2102210101222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22210101220094 and 22210101220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210101220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409156 + ... + 6677395.

It is an arithmetic number, because the mean of its divisors is an integer number (452033435700).

Almost surely, 222210101220120 is an apocalyptic number.

22210101220120 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 22210101220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28930139884800).

22210101220120 is an abundant number, since it is smaller than the sum of its proper divisors (35650178549480).

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

22210101220120 is a wasteful number, since it uses less digits than its factorization.

22210101220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087009 (or 7087005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22210101220120 its reverse (2102210101222), we get a palindrome (24312311321342).

The spelling of 22210101220120 in words is "twenty-two trillion, two hundred ten billion, one hundred one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 419 440 680 748 838 935 1496 1676 1870 2095 3352 3740 4190 4609 7123 7480 8380 9218 14246 16760 18436 23045 28492 35615 36872 46090 56984 71230 78353 92180 142460 156706 184360 284920 313412 391765 626824 783530 1567060 3134120 7086551 14173102 28346204 35432755 56692408 70865510 77952061 120471367 141731020 155904122 240942734 283462040 311808244 389760305 481885468 602356835 623616488 779520610 963770936 1204713670 1325185037 1559041220 2409427340 2650370074 2969264869 3118082440 4818854680 5300740148 5938529738 6625925185 10601480296 11877059476 13251850370 14846324345 23754118952 26503700740 29692648690 32661913559 50477502773 53007401480 59385297380 65323827118 100955005546 118770594760 130647654236 163309567795 201910011092 252387513865 261295308472 326619135590 403820022184 504775027730 555252530503 653238271180 1009550055460 1110505061006 1306476542360 2019100110920 2221010122012 2776262652515 4442020244024 5552525305030 11105050610060 22210101220120