Search a number
-
+
1301402003304 = 2331331819116427
BaseRepresentation
bin10010111100000001100…
…110101010011101101000
311121102010221110121012110
4102330001212222131220
5132310232403101204
62433504505242320
7163010645336514
oct22740146523550
94542127417173
101301402003304
11461a1555a007
12190278a933a0
139594c6c79b0
1446db985d144
1523cbc063889
hex12f019aa768

1301402003304 has 128 divisors (see below), whose sum is σ = 3617461370880. Its totient is φ = 387443347200.

The previous prime is 1301402003303. The next prime is 1301402003309. The reversal of 1301402003304 is 4033002041031.

It is not an unprimeable number, because it can be changed into a prime (1301402003303) by changing a digit.

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, 79215139 + ... + 79231565.

It is an arithmetic number, because the mean of its divisors is an integer number (28261416960).

Almost surely, 21301402003304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301402003304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808730685440).

1301402003304 is an abundant number, since it is smaller than the sum of its proper divisors (2316059367576).

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

1301402003304 is a wasteful number, since it uses less digits than its factorization.

1301402003304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24671 (or 24667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1301402003304 its reverse (4033002041031), we get a palindrome (5334404044335).

The spelling of 1301402003304 in words is "one trillion, three hundred one billion, four hundred two million, three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 8191 9672 16382 16427 24573 32764 32854 49146 49281 65528 65708 98292 98562 106483 131416 196584 197124 212966 213551 253921 319449 394248 425932 427102 507842 509237 638898 640653 761763 851864 854204 1015684 1018474 1277796 1281306 1523526 1527711 1708408 2031368 2036948 2555592 2562612 3047052 3055422 3300973 4073896 5125224 6094104 6110844 6601946 6620081 9902919 12221688 13203892 13240162 19805838 19860243 26407784 26480324 39611676 39720486 52960648 79223352 79440972 134553557 158881944 269107114 403660671 538214228 807321342 1076428456 1614642684 1749196241 3229285368 3498392482 4171160267 5247588723 6996784964 8342320534 10495177446 12513480801 13993569928 16684641068 20990354892 25026961602 33369282136 41980709784 50053923204 54225083471 100107846408 108450166942 162675250413 216900333884 325350500826 433800667768 650701001652 1301402003304