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1232030120 = 235172197541
BaseRepresentation
bin100100101101111…
…0100100110101000
310011212021121121012
41021123310212220
510010344430440
6322130403052
742350040356
oct11133644650
93155247535
101232030120
115824a3512
122a4730488
1316832a509
14b98aa7d6
1573265e65
hex496f49a8

1232030120 has 96 divisors (see below), whose sum is σ = 2965141080. Its totient is φ = 460615680.

The previous prime is 1232030099. The next prime is 1232030123. The reversal of 1232030120 is 210302321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 740166436 + 491863684 = 27206^2 + 22178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1232030095 and 1232030104.

It is not an unprimeable number, because it can be changed into a prime (1232030123) 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, 2277050 + ... + 2277590.

Almost surely, 21232030120 is an apocalyptic number.

1232030120 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 1232030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482570540).

1232030120 is an abundant number, since it is smaller than the sum of its proper divisors (1733110960).

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

1232030120 is a wasteful number, since it uses less digits than its factorization.

1232030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1232030120 is about 35100.2866085165. The cubic root of 1232030120 is about 1072.0304184025.

Adding to 1232030120 its reverse (210302321), we get a palindrome (1442332441).

The spelling of 1232030120 in words is "one billion, two hundred thirty-two million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 289 340 394 541 578 680 788 985 1082 1156 1445 1576 1970 2164 2312 2705 2890 3349 3940 4328 5410 5780 6698 7880 9197 10820 11560 13396 16745 18394 21640 26792 33490 36788 45985 56933 66980 73576 91970 106577 113866 133960 156349 183940 213154 227732 284665 312698 367880 426308 455464 532885 569330 625396 781745 852616 1065770 1138660 1250792 1563490 1811809 2131540 2277320 3126980 3623618 4263080 6253960 7247236 9059045 14494472 18118090 30800753 36236180 61601506 72472360 123203012 154003765 246406024 308007530 616015060 1232030120