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1231342000 = 24537281313
BaseRepresentation
bin100100101100100…
…1100100110110000
310011210222122200021
41021121030212300
510010210421000
6322103533224
742341143240
oct11131144660
93153878607
101231342000
11582073519
122a445a214
13168149245
14b976bb20
157317c11a
hex4964c9b0

1231342000 has 160 divisors (see below), whose sum is σ = 3425745024. Its totient is φ = 419328000.

The previous prime is 1231341997. The next prime is 1231342003. The reversal of 1231342000 is 2431321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1231341997) and next prime (1231342003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1231342003) 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 31 ways as a sum of consecutive naturals, for example, 3933844 + ... + 3934156.

Almost surely, 21231342000 is an apocalyptic number.

1231342000 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 1231342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712872512).

1231342000 is an abundant number, since it is smaller than the sum of its proper divisors (2194403024).

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

1231342000 is a wasteful number, since it uses less digits than its factorization.

1231342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1231342000 is about 35090.4830402775. The cubic root of 1231342000 is about 1071.8307958606.

Adding to 1231342000 its reverse (2431321), we get a palindrome (1233773321).

The spelling of 1231342000 in words is "one billion, two hundred thirty-one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 281 313 350 400 500 560 562 626 700 875 1000 1124 1252 1400 1405 1565 1750 1967 2000 2191 2248 2504 2800 2810 3130 3500 3934 4382 4496 5008 5620 6260 7000 7025 7825 7868 8764 9835 10955 11240 12520 14000 14050 15650 15736 17528 19670 21910 22480 25040 28100 31300 31472 35056 35125 39125 39340 43820 49175 54775 56200 62600 70250 78250 78680 87640 87953 98350 109550 112400 125200 140500 156500 157360 175280 175906 196700 219100 245875 273875 281000 313000 351812 393400 438200 439765 491750 547750 562000 615671 626000 703624 786800 876400 879530 983500 1095500 1231342 1407248 1759060 1967000 2191000 2198825 2462684 3078355 3518120 3934000 4382000 4397650 4925368 6156710 7036240 8795300 9850736 10994125 12313420 15391775 17590600 21988250 24626840 30783550 35181200 43976500 49253680 61567100 76958875 87953000 123134200 153917750 175906000 246268400 307835500 615671000 1231342000