Search a number
-
+
1011023311302 = 2332353129111897
BaseRepresentation
bin11101011011001011010…
…11110111000111000110
310120122121221201122211000
432231211223313013012
5113031033431430202
62052242510154130
7133021046231604
oct16554553670706
93518557648730
101011023311302
1135a855335924
12143b397b2946
1374453c95854
1436d10464874
151b4743ac91c
hexeb65af71c6

1011023311302 has 128 divisors (see below), whose sum is σ = 2390687032320. Its totient is φ = 316001537280.

The previous prime is 1011023311297. The next prime is 1011023311303. The reversal of 1011023311302 is 2031133201101.

1011023311302 is a `hidden beast` number, since 10 + 110 + 233 + 11 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011023311303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84975418 + ... + 84987314.

It is an arithmetic number, because the mean of its divisors is an integer number (18677242440).

Almost surely, 21011023311302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011023311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195343516160).

1011023311302 is an abundant number, since it is smaller than the sum of its proper divisors (1379663721018).

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

1011023311302 is a wasteful number, since it uses less digits than its factorization.

1011023311302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13275 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011023311302 its reverse (2031133201101), we get a palindrome (3042156512403).

The spelling of 1011023311302 in words is "one trillion, eleven billion, twenty-three million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 106 138 159 207 318 414 477 621 954 1219 1242 1291 1431 2438 2582 2862 3657 3873 7314 7746 10971 11619 11897 21942 23238 23794 29693 32913 34857 35691 59386 65826 68423 69714 71382 89079 107073 136846 178158 205269 214146 267237 273631 321219 410538 534474 547262 615807 630541 642438 801711 820893 1231614 1261082 1573729 1603422 1641786 1847421 1891623 2462679 3147458 3694842 3783246 4721187 4925358 5674869 7388037 9442374 11349738 14163561 14502443 14776074 15359027 17024607 28327122 29004886 30718054 34049214 42490683 43507329 46077081 84981366 87014658 92154162 130521987 138231243 261043974 276462486 353257621 391565961 414693729 706515242 783131922 814028431 829387458 1059772863 1628056862 2119545726 2442085293 3179318589 4884170586 6358637178 7326255879 9537955767 14652511758 18722653913 19075911534 21978767637 37445307826 43957535274 56167961739 112335923478 168503885217 337007770434 505511655651 1011023311302