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1011411301072 = 241723927756167
BaseRepresentation
bin11101011011111001100…
…11111011001011010000
310120200121222210120201111
432231330303323023100
5113032332243113242
62052345210143104
7133033500132244
oct16557463731320
93520558716644
101011411301072
1135aa34348327
12144027721a94
13744b64905b3
1436d49bc0424
151b49849c817
hexeb7ccfb2d0

1011411301072 has 80 divisors (see below), whose sum is σ = 2091121159680. Its totient is φ = 472247322624.

The previous prime is 1011411301067. The next prime is 1011411301073. The reversal of 1011411301072 is 2701031141101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011411301073) 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, 17979133 + ... + 18035299.

It is an arithmetic number, because the mean of its divisors is an integer number (26139014496).

Almost surely, 21011411301072 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 1011411301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045560579840).

1011411301072 is an abundant number, since it is smaller than the sum of its proper divisors (1079709858608).

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

1011411301072 is a wasteful number, since it uses less digits than its factorization.

1011411301072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56708 (or 56702 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 1011411301072 its reverse (2701031141101), we get a palindrome (3712442442173).

The spelling of 1011411301072 in words is "one trillion, eleven billion, four hundred eleven million, three hundred one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 239 272 277 478 554 956 1108 1912 2216 3824 4063 4432 4709 8126 9418 16252 18836 32504 37672 56167 65008 66203 75344 112334 132406 224668 264812 449336 529624 898672 954839 1059248 1125451 1909678 2250902 3819356 4501804 7638712 9003608 13423913 15277424 15558259 18007216 26847826 31116518 53695652 62233036 107391304 124466072 214782608 228206521 248932144 264490403 456413042 528980806 912826084 1057961612 1825652168 2115923224 3651304336 3718423901 4231846448 7436847802 14873695604 29747391208 59494782416 63213206317 126426412634 252852825268 505705650536 1011411301072