Search a number
-
+
10313402032410 = 235101128914811783
BaseRepresentation
bin1001011000010100011010…
…1010100010000100011010
31100111221200201110001211020
42112011012222202010122
52322433321410014120
633533524514143310
72113055500562511
oct226050652420432
940457621401736
1010313402032410
113316986639664
1211a6981581b36
1359a71b72c509
1427925816d678
1512d41deb9640
hex96146aa211a

10313402032410 has 128 divisors (see below), whose sum is σ = 25047560378880. Its totient is φ = 2717535744000.

The previous prime is 10313402032319. The next prime is 10313402032477. The reversal of 10313402032410 is 1423020431301.

It is a happy number.

It is a super-2 number, since 2×103134020324102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5784296379 + ... + 5784298161.

It is an arithmetic number, because the mean of its divisors is an integer number (195684065460).

Almost surely, 210313402032410 is an apocalyptic number.

10313402032410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10313402032410 is an abundant number, since it is smaller than the sum of its proper divisors (14734158346470).

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

10313402032410 is a wasteful number, since it uses less digits than its factorization.

10313402032410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10313402032410 its reverse (1423020431301), we get a palindrome (11736422463711).

The spelling of 10313402032410 in words is "ten trillion, three hundred thirteen billion, four hundred two million, thirty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1289 1481 1515 1783 2578 2962 3030 3566 3867 4443 5349 6445 7405 7734 8886 8915 10698 12890 14810 17830 19335 22215 26745 38670 44430 53490 130189 149581 180083 260378 299162 360166 390567 448743 540249 650945 747905 781134 897486 900415 1080498 1301890 1495810 1800830 1909009 1952835 2243715 2298287 2640623 2701245 3818018 3905670 4487430 4596574 5281246 5402490 5727027 6894861 7921869 9545045 11454054 11491435 13203115 13789722 15843738 19090090 22982870 26406230 28635135 34474305 39609345 57270270 68948610 79218690 192809909 232126987 266702923 385619818 464253974 533405846 578429727 696380961 800108769 964049545 1156859454 1160634935 1333514615 1392761922 1600217538 1928099090 2321269870 2667029230 2892148635 3403763047 3481904805 4000543845 5784297270 6807526094 6963809610 8001087690 10211289141 17018815235 20422578282 34037630470 51056445705 102112891410 343780067747 687560135494 1031340203241 1718900338735 2062680406482 3437800677470 5156701016205 10313402032410