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2212110120 = 2335113745293
BaseRepresentation
bin1000001111011010…
…0001111100101000
312201011110211121110
42003312201330220
514012300010440
61003301110320
7105550424433
oct20366417450
95634424543
102212110120
11a35751090
125189b83a0
132933b17cc
1416db1081a
15ce310080
hex83da1f28

2212110120 has 128 divisors (see below), whose sum is σ = 7435463040. Its totient is φ = 521763840.

The previous prime is 2212110113. The next prime is 2212110127. The reversal of 2212110120 is 210112122.

It is an interprime number because it is at equal distance from previous prime (2212110113) and next prime (2212110127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2212110096 and 2212110105.

It is not an unprimeable number, because it can be changed into a prime (2212110127) 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, 26194 + ... + 71486.

It is an arithmetic number, because the mean of its divisors is an integer number (58089555).

Almost surely, 22212110120 is an apocalyptic number.

2212110120 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 2212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717731520).

2212110120 is an abundant number, since it is smaller than the sum of its proper divisors (5223352920).

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

2212110120 is a wasteful number, since it uses less digits than its factorization.

2212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45355 (or 45351 counting only the distinct ones).

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

The square root of 2212110120 is about 47033.0747453321. The cubic root of 2212110120 is about 1302.9734933383.

Adding to 2212110120 its reverse (210112122), we get a palindrome (2422222242).

The spelling of 2212110120 in words is "two billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 45293 48840 90586 135879 181172 226465 271758 362344 452930 498223 543516 679395 905860 996446 1087032 1358790 1494669 1675841 1811720 1992892 2491115 2717580 2989338 3351682 3985784 4982230 5027523 5435160 5978676 6703364 7473345 8379205 9964460 10055046 11957352 13406728 14946690 16758410 18434251 19928920 20110092 25137615 29893380 33516820 36868502 40220184 50275230 55302753 59786760 67033640 73737004 92171255 100550460 110605506 147474008 184342510 201100920 221211012 276513765 368685020 442422024 553027530 737370040 1106055060 2212110120