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11130263104 = 262943891567
BaseRepresentation
bin10100101110110101…
…00101011001000000
31001201200112221121211
422113122211121000
5140243321404404
65040240055504
7542550450442
oct122732453100
931650487554
1011130263104
1147a181a454
1221a7604594
131084c05acc
147782dc492
15452220b04
hex2976a5640

11130263104 has 112 divisors (see below), whose sum is σ = 23657356800. Its totient is φ = 5185990656.

The previous prime is 11130263051. The next prime is 11130263107. The reversal of 11130263104 is 40136203111.

It is not an unprimeable number, because it can be changed into a prime (11130263107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7102129 + ... + 7103695.

It is an arithmetic number, because the mean of its divisors is an integer number (211226400).

Almost surely, 211130263104 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 11130263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828678400).

11130263104 is an abundant number, since it is smaller than the sum of its proper divisors (12527093696).

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

11130263104 is a wasteful number, since it uses less digits than its factorization.

11130263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11130263104 its reverse (40136203111), we get a palindrome (51266466215).

The spelling of 11130263104 in words is "eleven billion, one hundred thirty million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 89 116 172 178 232 344 356 464 688 712 928 1247 1376 1424 1567 1856 2494 2581 2752 2848 3134 3827 4988 5162 5696 6268 7654 9976 10324 12536 15308 19952 20648 25072 30616 39904 41296 45443 50144 61232 67381 79808 82592 90886 100288 110983 122464 134762 139463 165184 181772 221966 244928 269524 278926 363544 443932 539048 557852 727088 887864 1078096 1115704 1454176 1775728 1954049 2156192 2231408 2908352 3551456 3908098 4044427 4312384 4462816 5996909 7102912 7816196 8088854 8925632 11993818 15632392 16177708 23987636 31264784 32355416 47975272 62529568 64710832 95950544 125059136 129421664 173910361 191901088 258843328 347820722 383802176 695641444 1391282888 2782565776 5565131552 11130263104