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110210000120 = 235111016833631
BaseRepresentation
bin110011010100100000…
…1110010010011111000
3101112110201120002101022
41212221001302103320
53301202230000440
6122344010442012
710651051354463
oct1465101622370
9345421502338
10110210000120
1142815743330
1219439133308
13a514b75b2c
14549704a2da
152d00779cb5
hex19a90724f8

110210000120 has 128 divisors (see below), whose sum is σ = 273669166080. Its totient is φ = 39610560000.

The previous prime is 110210000119. The next prime is 110210000123. The reversal of 110210000120 is 21000012011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110210000098 and 110210000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110210000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30350705 + ... + 30354335.

It is an arithmetic number, because the mean of its divisors is an integer number (2138040360).

Almost surely, 2110210000120 is an apocalyptic number.

110210000120 is a gapful number since it is divisible by the number (10) 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 110210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136834583040).

110210000120 is an abundant number, since it is smaller than the sum of its proper divisors (163459165960).

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

110210000120 is a wasteful number, since it uses less digits than its factorization.

110210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110210000120 its reverse (21000012011), we get a palindrome (131210012131).

The spelling of 110210000120 in words is "one hundred ten billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 683 808 1010 1111 1366 2020 2222 2732 3415 3631 4040 4444 5464 5555 6830 7262 7513 8888 11110 13660 14524 15026 18155 22220 27320 29048 30052 36310 37565 39941 44440 60104 68983 72620 75130 79882 137966 145240 150260 159764 199705 275932 300520 319528 344915 366731 399410 551864 689830 733462 758813 798820 1379660 1466924 1517626 1597640 1833655 2479973 2759320 2933848 3035252 3667310 3794065 4034041 4959946 6070504 7334620 7588130 8068082 9919892 12399865 14669240 15176260 16136164 19839784 20170205 24799730 27279703 30352520 32272328 40340410 49599460 54559406 80680820 99198920 109118812 136398515 161361640 218237624 250477273 272797030 500954546 545594060 1001909092 1091188120 1252386365 2003818184 2504772730 2755250003 5009545460 5510500006 10019090920 11021000012 13776250015 22042000024 27552500030 55105000060 110210000120