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130340111256 = 233417113104707
BaseRepresentation
bin111100101100011100…
…0000100001110011000
3110110102121220200120000
41321120320010032120
54113414032030011
6135513304533000
712262643444235
oct1713070041630
9413377820500
10130340111256
115030565a813
1221316781160
13c3a24a79b4
14644672078c
1535ccb47356
hex1e58e04398

130340111256 has 160 divisors (see below), whose sum is σ = 389972381040. Its totient is φ = 40528760832.

The previous prime is 130340111191. The next prime is 130340111281. The reversal of 130340111256 is 652111043031.

It is a happy number.

130340111256 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 401 + 1 + 1 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192455 + ... + 1297161.

Almost surely, 2130340111256 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 130340111256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194986190520).

130340111256 is an abundant number, since it is smaller than the sum of its proper divisors (259632269784).

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

130340111256 is a wasteful number, since it uses less digits than its factorization.

130340111256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104855 (or 104842 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 130340111256 its reverse (652111043031), we get a palindrome (782451154287).

The spelling of 130340111256 in words is "one hundred thirty billion, three hundred forty million, one hundred eleven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 113 136 153 162 204 216 226 306 324 339 408 452 459 612 648 678 904 918 1017 1224 1356 1377 1836 1921 2034 2712 2754 3051 3672 3842 4068 5508 5763 6102 7684 8136 9153 11016 11526 12204 15368 17289 18306 23052 24408 34578 36612 46104 51867 69156 73224 103734 104707 138312 155601 207468 209414 311202 314121 414936 418828 622404 628242 837656 942363 1244808 1256484 1780019 1884726 2512968 2827089 3560038 3769452 5340057 5654178 7120076 7538904 8481267 10680114 11308356 11831891 14240152 16020171 16962534 21360228 22616712 23663782 32040342 33925068 35495673 42720456 47327564 48060513 64080684 67850136 70991346 94655128 96121026 106487019 128161368 141982692 144181539 192242052 201142147 212974038 283965384 288363078 319461057 384484104 402284294 425948076 576726156 603426441 638922114 804568588 851896152 958383171 1153452312 1206852882 1277844228 1609137176 1810279323 1916766342 2413705764 2555688456 3620558646 3833532684 4827411528 5430837969 7241117292 7667065368 10861675938 14482234584 16292513907 21723351876 32585027814 43446703752 65170055628 130340111256