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10062141300 = 2233527152489
BaseRepresentation
bin10010101111100000…
…00001011101110100
3221222020200201222000
421113300001131310
5131101402010200
64342242335300
7504230534631
oct112760013564
927866621860
1010062141300
1142a38a8762
121b4995a530
13c44836c83
146b64db188
153dd585300
hex257c01774

10062141300 has 144 divisors (see below), whose sum is σ = 32804150400. Its totient is φ = 2645395200.

The previous prime is 10062141259. The next prime is 10062141301. The reversal of 10062141300 is 314126001.

It is a happy number.

10062141300 is a `hidden beast` number, since 1 + 0 + 0 + 621 + 41 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10062141301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165456 + ... + 217944.

It is an arithmetic number, because the mean of its divisors is an integer number (227806600).

Almost surely, 210062141300 is an apocalyptic number.

10062141300 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 10062141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402075200).

10062141300 is an abundant number, since it is smaller than the sum of its proper divisors (22742009100).

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

10062141300 is a wasteful number, since it uses less digits than its factorization.

10062141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52583 (or 52570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10062141300 its reverse (314126001), we get a palindrome (10376267301).

The spelling of 10062141300 in words is "ten billion, sixty-two million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 71 75 90 100 108 135 142 150 180 213 225 270 284 300 355 426 450 540 639 675 710 852 900 1065 1278 1350 1420 1775 1917 2130 2556 2700 3195 3550 3834 4260 5325 6390 7100 7668 9585 10650 12780 15975 19170 21300 31950 38340 47925 52489 63900 95850 104978 157467 191700 209956 262445 314934 472401 524890 629868 787335 944802 1049780 1312225 1417203 1574670 1889604 2362005 2624450 2834406 3149340 3726719 3936675 4724010 5248900 5668812 7086015 7453438 7873350 9448020 11180157 11810025 14172030 14906876 15746700 18633595 22360314 23620050 28344060 33540471 35430075 37267190 44720628 47240100 55900785 67080942 70860150 74534380 93167975 100621413 111801570 134161884 141720300 167702355 186335950 201242826 223603140 279503925 335404710 372671900 402485652 503107065 559007850 670809420 838511775 1006214130 1118015700 1677023550 2012428260 2515535325 3354047100 5031070650 10062141300