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1242031120 = 245112314139
BaseRepresentation
bin100101000000111…
…1110010000010000
310012120002201101121
41022001332100100
510020424443440
6323125012024
742531042661
oct11201762020
93176081347
101242031120
11588104400
122a7b54014
1316a41c675
14bad51368
157408e34a
hex4a07e410

1242031120 has 120 divisors (see below), whose sum is σ = 3277290240. Its totient is φ = 436972800.

The previous prime is 1242031093. The next prime is 1242031199. The reversal of 1242031120 is 211302421.

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 = 1242031094 and 1242031103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298011 + ... + 302149.

It is an arithmetic number, because the mean of its divisors is an integer number (27310752).

Almost surely, 21242031120 is an apocalyptic number.

1242031120 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 1242031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638645120).

1242031120 is an abundant number, since it is smaller than the sum of its proper divisors (2035259120).

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

1242031120 is a wasteful number, since it uses less digits than its factorization.

1242031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4188 counting only the distinct ones).

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

The square root of 1242031120 is about 35242.4618890338. The cubic root of 1242031120 is about 1074.9233390438.

Adding to 1242031120 its reverse (211302421), we get a palindrome (1453333541).

The spelling of 1242031120 in words is "one billion, two hundred forty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 121 124 155 176 220 242 248 310 341 440 484 496 605 620 682 880 968 1210 1240 1364 1705 1936 2420 2480 2728 3410 3751 4139 4840 5456 6820 7502 8278 9680 13640 15004 16556 18755 20695 27280 30008 33112 37510 41390 45529 60016 66224 75020 82780 91058 128309 150040 165560 182116 227645 256618 300080 331120 364232 455290 500819 513236 641545 728464 910580 1001638 1026472 1283090 1411399 1821160 2003276 2052944 2504095 2566180 2822798 3642320 4006552 5008190 5132360 5645596 7056995 8013104 10016380 10264720 11291192 14113990 15525389 20032760 22582384 28227980 31050778 40065520 56455960 62101556 77626945 112911920 124203112 155253890 248406224 310507780 621015560 1242031120