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1142242100 = 2252233491423
BaseRepresentation
bin100010000010101…
…0011101100110100
32221121022220120222
41010011103230310
54314403221400
6305202113512
740206616616
oct10405235464
92847286528
101142242100
1153684743a
1227a64b898
13152850bcc
14ab9b6db6
156a42c185
hex44153b34

1142242100 has 72 divisors (see below), whose sum is σ = 2595667200. Its totient is φ = 435473280.

The previous prime is 1142242097. The next prime is 1142242103. The reversal of 1142242100 is 12422411.

It is an interprime number because it is at equal distance from previous prime (1142242097) and next prime (1142242103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142242103) 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 23 ways as a sum of consecutive naturals, for example, 801989 + ... + 803411.

Almost surely, 21142242100 is an apocalyptic number.

1142242100 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 1142242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297833600).

1142242100 is an abundant number, since it is smaller than the sum of its proper divisors (1453425100).

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

1142242100 is a wasteful number, since it uses less digits than its factorization.

1142242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1142242100 is about 33797.0723584159. The cubic root of 1142242100 is about 1045.3283310082.

Adding to 1142242100 its reverse (12422411), we get a palindrome (1154664511).

The spelling of 1142242100 in words is "one billion, one hundred forty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 349 460 575 698 1150 1396 1423 1745 2300 2846 3490 5692 6980 7115 8027 8725 14230 16054 17450 28460 32108 32729 34900 35575 40135 65458 71150 80270 130916 142300 160540 163645 200675 327290 401350 496627 654580 802700 818225 993254 1636450 1986508 2483135 3272900 4966270 9932540 11422421 12415675 22844842 24831350 45689684 49662700 57112105 114224210 228448420 285560525 571121050 1142242100