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130110132120 = 23352954169109
BaseRepresentation
bin111100100101100101…
…0110000111110011000
3110102211121011112111020
41321023022300332120
54112431143211440
6135434411402440
712254151606153
oct1711312607630
9412747145436
10130110132120
11501a7861011
1221271753420
13c366955077
146423d76c9a
1535b786a3d0
hex1e4b2b0f98

130110132120 has 128 divisors (see below), whose sum is σ = 404542296000. Its totient is φ = 33437214720.

The previous prime is 130110132079. The next prime is 130110132151. The reversal of 130110132120 is 21231011031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130110132120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848126 + ... + 1917234.

Almost surely, 2130110132120 is an apocalyptic number.

130110132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130110132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202271148000).

130110132120 is an abundant number, since it is smaller than the sum of its proper divisors (274432163880).

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

130110132120 is a wasteful number, since it uses less digits than its factorization.

130110132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69693 (or 69689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 130110132120 its reverse (21231011031), we get a palindrome (151341143151).

The spelling of 130110132120 in words is "one hundred thirty billion, one hundred ten million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 541 580 696 870 1082 1160 1623 1740 2164 2705 3246 3480 4328 5410 6492 8115 10820 12984 15689 16230 21640 31378 32460 47067 62756 64920 69109 78445 94134 125512 138218 156890 188268 207327 235335 276436 313780 345545 376536 414654 470670 552872 627560 691090 829308 941340 1036635 1382180 1658616 1882680 2004161 2073270 2764360 4008322 4146540 6012483 8016644 8293080 10020805 12024966 16033288 20041610 24049932 30062415 37387969 40083220 48099864 60124830 74775938 80166440 112163907 120249660 149551876 186939845 224327814 240499320 299103752 373879690 448655628 560819535 747759380 897311256 1084251101 1121639070 1495518760 2168502202 2243278140 3252753303 4337004404 4486556280 5421255505 6505506606 8674008808 10842511010 13011013212 16263766515 21685022020 26022026424 32527533030 43370044040 65055066060 130110132120