Search a number
-
+
1301233020 = 2235371933037
BaseRepresentation
bin100110110001111…
…0011110101111100
310100200111111010120
41031203303311330
510131103424040
6333041534540
744150204163
oct11543636574
93320444116
101301233020
1160856a69a
12303944450
1317977a289
14c4b623da
15793857d0
hex4d8f3d7c

1301233020 has 96 divisors (see below), whose sum is σ = 3762550848. Its totient is φ = 335757312.

The previous prime is 1301233007. The next prime is 1301233049. The reversal of 1301233020 is 203321031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426942 + ... + 429978.

It is an arithmetic number, because the mean of its divisors is an integer number (39193238).

Almost surely, 21301233020 is an apocalyptic number.

1301233020 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 1301233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881275424).

1301233020 is an abundant number, since it is smaller than the sum of its proper divisors (2461317828).

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

1301233020 is a wasteful number, since it uses less digits than its factorization.

1301233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1301233020 is about 36072.6076129797. The cubic root of 1301233020 is about 1091.7378276813.

Adding to 1301233020 its reverse (203321031), we get a palindrome (1504554051).

The spelling of 1301233020 in words is "one billion, three hundred one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 193 222 370 386 444 555 579 740 772 965 1110 1158 1930 2220 2316 2895 3037 3860 5790 6074 7141 9111 11580 12148 14282 15185 18222 21423 28564 30370 35705 36444 42846 45555 60740 71410 85692 91110 107115 112369 142820 182220 214230 224738 337107 428460 449476 561845 586141 674214 1123690 1172282 1348428 1685535 1758423 2247380 2344564 2930705 3371070 3516846 5861410 6742140 7033692 8792115 11722820 17584230 21687217 35168460 43374434 65061651 86748868 108436085 130123302 216872170 260246604 325308255 433744340 650616510 1301233020