Search a number
-
+
1241031130404 = 22313192206910651
BaseRepresentation
bin10010000011110011001…
…110000011110100100100
311101122022121000111110220
4102003303032003310210
5130313112432133104
62350042152044340
7155442623361642
oct22036316036444
94348277014426
101241031130404
114393557a071a
1218062a9936b0
139004b186ab0
14440cda28192
1522436ea27d9
hex120f3383d24

1241031130404 has 144 divisors (see below), whose sum is σ = 3293157833280. Its totient is φ = 361549267200.

The previous prime is 1241031130403. The next prime is 1241031130447. The reversal of 1241031130404 is 4040311301421.

It is not an unprimeable number, because it can be changed into a prime (1241031130403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116512479 + ... + 116523129.

It is an arithmetic number, because the mean of its divisors is an integer number (22869151620).

Almost surely, 21241031130404 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 1241031130404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646578916640).

1241031130404 is an abundant number, since it is smaller than the sum of its proper divisors (2052126702876).

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

1241031130404 is a wasteful number, since it uses less digits than its factorization.

1241031130404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1241031130404 its reverse (4040311301421), we get a palindrome (5281342431825).

The spelling of 1241031130404 in words is "one trillion, two hundred forty-one billion, thirty-one million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2069 2166 2964 4138 4332 4693 6207 8276 9386 10651 12414 14079 18772 21302 24828 26897 28158 31953 39311 42604 53794 56316 63906 78622 80691 107588 117933 127812 138463 157244 161382 202369 235866 276926 322764 404738 415389 471732 511043 553852 607107 746909 809476 830778 1022086 1214214 1493818 1533129 1661556 2044172 2240727 2428428 2630797 2987636 3066258 3845011 4481454 5261594 6132516 7690022 7892391 8962908 9709817 10523188 11535033 15380044 15784782 19419634 22036919 23070066 29129451 31569564 38839268 44073838 46140132 49985143 58258902 66110757 88147676 99970286 116517804 132221514 149955429 199940572 264443028 286479947 299910858 418701461 572959894 599821716 837402922 859439841 1145919788 1256104383 1674805844 1718879682 2512208766 3437759364 5024417532 5443118993 7955327759 10886237986 15910655518 16329356979 21772475972 23865983277 31821311036 32658713958 47731966554 65317427916 95463933108 103419260867 206838521734 310257782601 413677043468 620515565202 1241031130404