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1142241100 = 22527111311411
BaseRepresentation
bin100010000010101…
…0011011101001100
32221121022212012221
41010011103131030
54314403203400
6305202105124
740206613660
oct10405233514
92847285187
101142241100
11536846710
1227a64b1a4
13152850610
14ab9b68a0
156a42bc1a
hex4415374c

1142241100 has 144 divisors (see below), whose sum is σ = 3328286976. Its totient is φ = 328608000.

The previous prime is 1142241077. The next prime is 1142241119. The reversal of 1142241100 is 11422411.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 94395 + ... + 105805.

It is an arithmetic number, because the mean of its divisors is an integer number (23113104).

Almost surely, 21142241100 is an apocalyptic number.

1142241100 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 1142241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664143488).

1142241100 is an abundant number, since it is smaller than the sum of its proper divisors (2186045876).

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

1142241100 is a wasteful number, since it uses less digits than its factorization.

1142241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456 (or 11449 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1142241100 is about 33797.0575642318. The cubic root of 1142241100 is about 1045.3280259565.

Adding to 1142241100 its reverse (11422411), we get a palindrome (1153663511).

1142241100 divided by its reverse (11422411) gives a square (100 = 102).

It can be divided in two parts, 1142 and 241100, that added together give a palindrome (242242).

The spelling of 1142241100 in words is "one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 11411 14300 20020 22822 25025 45644 50050 57055 79877 100100 114110 125521 148343 159754 228220 251042 285275 296686 319508 399385 502084 570550 593372 627605 741715 798770 878647 1038401 1141100 1255210 1483430 1597540 1631773 1757294 1996925 2076802 2510420 2966860 3138025 3263546 3514588 3708575 3993850 4153604 4393235 5192005 6276050 6527092 7417150 7987700 8158865 8786470 10384010 11422411 12552100 14834300 16317730 17572940 20768020 21966175 22844822 25960025 32635460 40794325 43932350 45689644 51920050 57112055 81588650 87864700 103840100 114224110 163177300 228448220 285560275 571120550 1142241100