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1412101020 = 2235112299343
BaseRepresentation
bin101010000101010…
…1111001110011100
310122102010011102210
41110022233032130
510342444213040
6352042120420
746664442411
oct12412571634
93572104383
101412101020
11665104440
12334ab0110
13196727745
14d5782108
1583e85480
hex542af39c

1412101020 has 96 divisors (see below), whose sum is σ = 4332625920. Its totient is φ = 340796160.

The previous prime is 1412101013. The next prime is 1412101051. The reversal of 1412101020 is 201012141.

It is a happy number.

1412101020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1412100987 and 1412101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146469 + ... + 155811.

It is an arithmetic number, because the mean of its divisors is an integer number (45131520).

Almost surely, 21412101020 is an apocalyptic number.

1412101020 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 1412101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166312960).

1412101020 is an abundant number, since it is smaller than the sum of its proper divisors (2920524900).

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

1412101020 is a wasteful number, since it uses less digits than its factorization.

1412101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9595 (or 9593 counting only the distinct ones).

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

The square root of 1412101020 is about 37577.9326200897. The cubic root of 1412101020 is about 1121.9028611160.

Adding to 1412101020 its reverse (201012141), we get a palindrome (1613113161).

The spelling of 1412101020 in words is "one billion, four hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 229 330 458 660 687 916 1145 1374 2290 2519 2748 3435 4580 5038 6870 7557 9343 10076 12595 13740 15114 18686 25190 28029 30228 37372 37785 46715 50380 56058 75570 93430 102773 112116 140145 151140 186860 205546 280290 308319 411092 513865 560580 616638 1027730 1233276 1541595 2055460 2139547 3083190 4279094 6166380 6418641 8558188 10697735 12837282 21395470 23535017 25674564 32093205 42790940 47070034 64186410 70605051 94140068 117675085 128372820 141210102 235350170 282420204 353025255 470700340 706050510 1412101020