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1242321210 = 23251310110513
BaseRepresentation
bin100101000001100…
…0101000100111010
310012120122110022200
41022003011010322
510021013234320
6323135131030
742533361504
oct11203050472
93176573280
101242321210
11588292349
122a8073a76
1316a4c1710
14badc8d74
15740ea290
hex4a0c513a

1242321210 has 96 divisors (see below), whose sum is σ = 3513274128. Its totient is φ = 302745600.

The previous prime is 1242321191. The next prime is 1242321217. The reversal of 1242321210 is 121232421.

It is a happy number.

1242321210 is a `hidden beast` number, since 12 + 423 + 21 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 212488929 + 1029832281 = 14577^2 + 32091^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1242321217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112914 + ... + 123426.

Almost surely, 21242321210 is an apocalyptic number.

1242321210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756637064).

1242321210 is an abundant number, since it is smaller than the sum of its proper divisors (2270952918).

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

1242321210 is a wasteful number, since it uses less digits than its factorization.

1242321210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1242321210 is about 35246.5772806382. The cubic root of 1242321210 is about 1075.0070192439.

Adding to 1242321210 its reverse (121232421), we get a palindrome (1363553631).

It can be divided in two parts, 12423 and 21210, that added together give a palindrome (33633).

The spelling of 1242321210 in words is "one billion, two hundred forty-two million, three hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 6565 7878 9090 10513 11817 13130 19695 21026 23634 31539 39390 52565 59085 63078 94617 105130 118170 136669 157695 189234 273338 315390 410007 473085 683345 820014 946170 1061813 1230021 1366690 2050035 2123626 2460042 3185439 4100070 5309065 6150105 6370878 9556317 10618130 12300210 13803569 15927195 19112634 27607138 31854390 41410707 47781585 69017845 82821414 95563170 124232121 138035690 207053535 248464242 414107070 621160605 1242321210