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110101420 = 2251113137281
BaseRepresentation
bin1101001000000…
…00001110101100
321200011201202101
412210000032230
5211141221140
614531504444
72504563252
oct644001654
9250151671
10110101420
1157170910
1230a58124
1319a6c590
14108a05d2
1599ec99a
hex69003ac

110101420 has 96 divisors (see below), whose sum is σ = 274591296. Its totient is φ = 36556800.

The previous prime is 110101417. The next prime is 110101421. The reversal of 110101420 is 24101011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110101397 and 110101406.

It is not an unprimeable number, because it can be changed into a prime (110101421) 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, 391680 + ... + 391960.

It is an arithmetic number, because the mean of its divisors is an integer number (2860326).

Almost surely, 2110101420 is an apocalyptic number.

110101420 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 110101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137295648).

110101420 is an abundant number, since it is smaller than the sum of its proper divisors (164489876).

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

110101420 is a wasteful number, since it uses less digits than its factorization.

110101420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 110101420 is about 10492.9223765355. The cubic root of 110101420 is about 479.2891967763.

Adding to 110101420 its reverse (24101011), we get a palindrome (134202431).

The spelling of 110101420 in words is "one hundred ten million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 137 143 220 260 274 281 286 548 562 572 685 715 1124 1370 1405 1430 1507 1781 2740 2810 2860 3014 3091 3562 3653 5620 6028 6182 7124 7306 7535 8905 12364 14612 15070 15455 17810 18265 19591 30140 30910 35620 36530 38497 39182 40183 61820 73060 76994 78364 80366 97955 153988 160732 192485 195910 200915 384970 391820 401830 423467 500461 769940 803660 846934 1000922 1693868 2001844 2117335 2502305 4234670 5004610 5505071 8469340 10009220 11010142 22020284 27525355 55050710 110101420