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1012143220 = 225112411012
BaseRepresentation
bin111100010101000…
…001010001110100
32121112112012110221
4330111001101310
54033102040340
6244233424124
734040034604
oct7425012164
92545465427
101012143220
1147a368200
12242b6b044
131318cc41a
14985ccc04
155dcce44a
hex3c541474

1012143220 has 108 divisors (see below), whose sum is σ = 2417207436. Its totient is φ = 355520000.

The previous prime is 1012143217. The next prime is 1012143227. The reversal of 1012143220 is 223412101.

It can be written as a sum of positive squares in 6 ways, for example, as 53993104 + 958150116 = 7348^2 + 30954^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1012143194 and 1012143203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012143227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10021170 + ... + 10021270.

Almost surely, 21012143220 is an apocalyptic number.

1012143220 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 1012143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208603718).

1012143220 is an abundant number, since it is smaller than the sum of its proper divisors (1405064216).

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

1012143220 is a wasteful number, since it uses less digits than its factorization.

1012143220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1012143220 is about 31814.1984026001. The cubic root of 1012143220 is about 1004.0314654456.

Adding to 1012143220 its reverse (223412101), we get a palindrome (1235555321).

The spelling of 1012143220 in words is "one billion, twelve million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 101 110 121 164 202 205 220 242 404 410 451 484 505 605 820 902 1010 1111 1210 1804 2020 2222 2255 2420 4141 4444 4510 4961 5555 8282 9020 9922 10201 11110 12221 16564 19844 20402 20705 22220 24442 24805 40804 41410 45551 48884 49610 51005 61105 82820 91102 99220 102010 112211 122210 182204 204020 224422 227755 244420 418241 448844 455510 501061 561055 836482 911020 1002122 1122110 1234321 1672964 2004244 2091205 2244220 2468642 2505305 4182410 4600651 4937284 5010610 6171605 8364820 9201302 10021220 12343210 18402604 23003255 24686420 46006510 50607161 92013020 101214322 202428644 253035805 506071610 1012143220