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1142330100 = 223521512167
BaseRepresentation
bin100010000010110…
…1001001011110100
32221121111101022020
41010011221023310
54314414030400
6305204033140
740210434312
oct10405511364
92847441266
101142330100
115368a756a
1227a6927b0
13152881c92
14ab9db0b2
156a4482a0
hex441692f4

1142330100 has 108 divisors (see below), whose sum is σ = 3347098272. Its totient is φ = 300792000.

The previous prime is 1142330071. The next prime is 1142330117. The reversal of 1142330100 is 10332411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1142330100.

It is a congruent number.

It is an unprimeable number.

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, 6840217 + ... + 6840383.

Almost surely, 21142330100 is an apocalyptic number.

1142330100 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 1142330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673549136).

1142330100 is an abundant number, since it is smaller than the sum of its proper divisors (2204768172).

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

1142330100 is a wasteful number, since it uses less digits than its factorization.

1142330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1142330100 is about 33798.3742212551. The cubic root of 1142330100 is about 1045.3551748594.

Adding to 1142330100 its reverse (10332411), we get a palindrome (1152662511).

The spelling of 1142330100 in words is "one billion, one hundred forty-two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 167 300 302 334 453 501 604 668 755 835 906 1002 1510 1670 1812 2004 2265 2505 3020 3340 3775 4175 4530 5010 7550 8350 9060 10020 11325 12525 15100 16700 22650 22801 25050 25217 45300 45602 50100 50434 68403 75651 91204 100868 114005 126085 136806 151302 228010 252170 273612 302604 342015 378255 456020 504340 570025 630425 684030 756510 1140050 1260850 1368060 1513020 1710075 1891275 2280100 2521700 3420150 3782550 3807767 6840300 7565100 7615534 11423301 15231068 19038835 22846602 38077670 45693204 57116505 76155340 95194175 114233010 190388350 228466020 285582525 380776700 571165050 1142330100