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1230313120 = 255173114591
BaseRepresentation
bin100100101010101…
…0001011010100000
310011202001101022121
41021111101122200
510004430004440
6322025514024
742326326501
oct11125213240
93152041277
101230313120
11581530503
122a4042914
13167b78b3a
14b9580ba8
157302734a
hex495516a0

1230313120 has 96 divisors (see below), whose sum is σ = 3177086976. Its totient is φ = 448204800.

The previous prime is 1230313037. The next prime is 1230313129. The reversal of 1230313120 is 213130321.

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

It is a junction number, because it is equal to n+sod(n) for n = 1230313094 and 1230313103.

It is not an unprimeable number, because it can be changed into a prime (1230313129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77025 + ... + 91615.

It is an arithmetic number, because the mean of its divisors is an integer number (33094656).

Almost surely, 21230313120 is an apocalyptic number.

1230313120 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 1230313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588543488).

1230313120 is an abundant number, since it is smaller than the sum of its proper divisors (1946773856).

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

1230313120 is a wasteful number, since it uses less digits than its factorization.

1230313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14654 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1230313120 is about 35075.8195912797. The cubic root of 1230313120 is about 1071.5321805921.

Adding to 1230313120 its reverse (213130321), we get a palindrome (1443443441).

The spelling of 1230313120 in words is "one billion, two hundred thirty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 136 155 160 170 248 272 310 340 496 527 544 620 680 992 1054 1240 1360 2108 2480 2635 2720 4216 4960 5270 8432 10540 14591 16864 21080 29182 42160 58364 72955 84320 116728 145910 233456 248047 291820 452321 466912 496094 583640 904642 992188 1167280 1240235 1809284 1984376 2261605 2334560 2480470 3618568 3968752 4523210 4960940 7237136 7689457 7937504 9046420 9921880 14474272 15378914 18092840 19843760 30757828 36185680 38447285 39687520 61515656 72371360 76894570 123031312 153789140 246062624 307578280 615156560 1230313120