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1142304100 = 225278319661
BaseRepresentation
bin100010000010110…
…0010110101100100
32221121110001122021
41010011202311210
54314412212400
6305203312524
740210265440
oct10405426544
92847401567
101142304100
11536889a83
1227a67b744
131528731b2
14ab9d1820
156a44071a
hex44162d64

1142304100 has 72 divisors (see below), whose sum is σ = 2867191488. Its totient is φ = 386908800.

The previous prime is 1142304083. The next prime is 1142304101. The reversal of 1142304100 is 14032411.

It is not an unprimeable number, because it can be changed into a prime (1142304101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48270 + ... + 67930.

It is an arithmetic number, because the mean of its divisors is an integer number (39822104).

Almost surely, 21142304100 is an apocalyptic number.

1142304100 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 1142304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433595744).

1142304100 is an abundant number, since it is smaller than the sum of its proper divisors (1724887388).

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

1142304100 is a wasteful number, since it uses less digits than its factorization.

1142304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19765 (or 19758 counting only the distinct ones).

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

The square root of 1142304100 is about 33797.9895851810. The cubic root of 1142304100 is about 1045.3472438650.

Adding to 1142304100 its reverse (14032411), we get a palindrome (1156336511).

The spelling of 1142304100 in words is "one billion, one hundred forty-two million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2905 4150 5810 8300 11620 14525 19661 29050 39322 58100 78644 98305 137627 196610 275254 393220 491525 550508 688135 983050 1376270 1631863 1966100 2752540 3263726 3440675 6527452 6881350 8159315 11423041 13762700 16318630 22846082 32637260 40796575 45692164 57115205 81593150 114230410 163186300 228460820 285576025 571152050 1142304100