Search a number
-
+
401242301130 = 235117925759887
BaseRepresentation
bin1011101011010111110…
…01111010001011001010
31102100200021011210202210
411311223321322023022
523033221012114010
6504154515005550
740663105200126
oct5655371721312
91370607153683
10401242301130
11145190900650
126591b2998b6
132bab5b23878
14155c5184586
15a6859dcb20
hex5d6be7a2ca

401242301130 has 128 divisors (see below), whose sum is σ = 1067980308480. Its totient is φ = 95664291840.

The previous prime is 401242301123. The next prime is 401242301137. The reversal of 401242301130 is 31103242104.

It is an interprime number because it is at equal distance from previous prime (401242301123) and next prime (401242301137).

It is a junction number, because it is equal to n+sod(n) for n = 401242301097 and 401242301106.

It is not an unprimeable number, because it can be changed into a prime (401242301137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6670047 + ... + 6729933.

It is an arithmetic number, because the mean of its divisors is an integer number (8343596160).

Almost surely, 2401242301130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401242301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533990154240).

401242301130 is an abundant number, since it is smaller than the sum of its proper divisors (666738007350).

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

401242301130 is a wasteful number, since it uses less digits than its factorization.

401242301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60244.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 401242301130 its reverse (31103242104), we get a palindrome (432345543234).

The spelling of 401242301130 in words is "four hundred one billion, two hundred forty-two million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 257 330 395 474 514 771 790 869 1185 1285 1542 1738 2370 2570 2607 2827 3855 4345 5214 5654 7710 8481 8690 13035 14135 16962 20303 26070 28270 40606 42405 59887 60909 84810 101515 119774 121818 179661 203030 223333 299435 304545 359322 446666 598870 609090 658757 669999 898305 1116665 1317514 1339998 1796610 1976271 2233330 3293785 3349995 3952542 4731073 6587570 6699990 9462146 9881355 14193219 15390959 19762710 23655365 28386438 30781918 46172877 47310730 52041803 70966095 76954795 92345754 104083606 141932190 153909590 156125409 169300549 230864385 260209015 312250818 338601098 461728770 507901647 520418030 780627045 846502745 1015803294 1215885761 1561254090 1693005490 2431771522 2539508235 3647657283 5079016470 6079428805 7295314566 12158857610 13374743371 18238286415 26749486742 36476572830 40124230113 66873716855 80248460226 133747433710 200621150565 401242301130