Search a number
-
+
1134231334012 = 2271743347159697
BaseRepresentation
bin10000100000010101011…
…101001010110001111100
311000102122112100201011101
4100200111131022301330
5122040401210142022
62225020401502444
7144642211160110
oct20402535126174
94012575321141
101134231334012
113a8030022987
121639a3941a24
1382c5a99a2ba
143cc7b883740
151e785ce8627
hex1081574ac7c

1134231334012 has 96 divisors (see below), whose sum is σ = 2464858142208. Its totient is φ = 445574836224.

The previous prime is 1134231334009. The next prime is 1134231334013. The reversal of 1134231334012 is 2104331324311.

It is a super-2 number, since 2×11342313340122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134231334013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7022548 + ... + 7182244.

It is an arithmetic number, because the mean of its divisors is an integer number (25675605648).

Almost surely, 21134231334012 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 1134231334012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232429071104).

1134231334012 is an abundant number, since it is smaller than the sum of its proper divisors (1330626808196).

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

1134231334012 is a wasteful number, since it uses less digits than its factorization.

1134231334012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160115 (or 160113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1134231334012 its reverse (2104331324311), we get a palindrome (3238562658323).

The spelling of 1134231334012 in words is "one trillion, one hundred thirty-four billion, two hundred thirty-one million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 347 476 602 694 731 1204 1388 1462 2429 2924 4858 5117 5899 9716 10234 11798 14921 20468 23596 29842 41293 59684 82586 104447 159697 165172 208894 253657 319394 417788 507314 638788 1014628 1117879 1775599 2235758 2714849 3551198 4471516 5429698 6866971 7102396 10859396 13733942 19003943 27467884 38007886 48068797 55414859 76015772 96137594 110829718 116738507 192275188 221659436 233477014 387904013 466954028 775808026 817169549 942052603 1551616052 1634339098 1884105206 2382838937 3268678196 3768210412 4765677874 6594368221 9531355748 13188736442 16679872559 26377472884 33359745118 40508261929 66719490236 81016523858 162033047716 283557833503 567115667006 1134231334012