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1020043100 = 2252232941373
BaseRepresentation
bin111100110011001…
…001111101011100
32122002101120002002
4330303021331130
54042112334400
6245115021432
734164136406
oct7463117534
92562346062
101020043100
1148387352a
1224573a878
131334370cb
1499687b76
155e83eed5
hex3ccc9f5c

1020043100 has 144 divisors (see below), whose sum is σ = 2454217920. Its totient is φ = 366643200.

The previous prime is 1020043067. The next prime is 1020043109. The reversal of 1020043100 is 13400201.

It is a happy number.

It is a super-2 number, since 2×10200431002 = 2080975851715220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020043109) 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, 2734514 + ... + 2734886.

It is an arithmetic number, because the mean of its divisors is an integer number (17043180).

Almost surely, 21020043100 is an apocalyptic number.

1020043100 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 1020043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227108960).

1020043100 is an abundant number, since it is smaller than the sum of its proper divisors (1434174820).

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

1020043100 is a wasteful number, since it uses less digits than its factorization.

1020043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1020043100 is about 31938.1135948885. The cubic root of 1020043100 is about 1006.6368876084.

Adding to 1020043100 its reverse (13400201), we get a palindrome (1033443301).

The spelling of 1020043100 in words is "one billion, twenty million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 41 46 50 58 82 92 100 115 116 145 164 205 230 290 373 410 460 575 580 667 725 746 820 943 1025 1150 1189 1334 1450 1492 1865 1886 2050 2300 2378 2668 2900 3335 3730 3772 4100 4715 4756 5945 6670 7460 8579 9325 9430 10817 11890 13340 15293 16675 17158 18650 18860 21634 23575 23780 27347 29725 30586 33350 34316 37300 42895 43268 47150 54085 54694 59450 61172 66700 76465 85790 94300 108170 109388 118900 136735 152930 171580 214475 216340 248791 270425 273470 305860 351739 382325 428950 443497 497582 540850 546940 683675 703478 764650 857900 886994 995164 1081700 1243955 1367350 1406956 1529300 1758695 1773988 2217485 2487910 2734700 3517390 4434970 4975820 6219775 7034780 8793475 8869940 10200431 11087425 12439550 17586950 20400862 22174850 24879100 35173900 40801724 44349700 51002155 102004310 204008620 255010775 510021550 1020043100