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130442032152 = 23332712228407
BaseRepresentation
bin111100101111011110…
…0110111010000011000
3110110200201200210202000
41321132330313100120
54114121130012102
6135531345241000
712265321656555
oct1713674672030
9413621623660
10130442032152
1150358143463
1221344933160
13c3ba641913
146456091a2c
1535d6a7b01c
hex1e5ef37418

130442032152 has 64 divisors (see below), whose sum is σ = 363676185600. Its totient is φ = 43320212640.

The previous prime is 130442032141. The next prime is 130442032187. The reversal of 130442032152 is 251230244031.

130442032152 is a `hidden beast` number, since 1 + 3 + 0 + 442 + 0 + 3 + 215 + 2 = 666.

It is a super-2 number, since 2×1304420321522 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1055668 + ... + 1172739.

It is an arithmetic number, because the mean of its divisors is an integer number (5682440400).

Almost surely, 2130442032152 is an apocalyptic number.

130442032152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130442032152 is an abundant number, since it is smaller than the sum of its proper divisors (233234153448).

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

130442032152 is a wasteful number, since it uses less digits than its factorization.

130442032152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228693 (or 2228683 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 130442032152 its reverse (251230244031), we get a palindrome (381672276183).

The spelling of 130442032152 in words is "one hundred thirty billion, four hundred forty-two million, thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 542 813 1084 1626 2168 2439 3252 4878 6504 7317 9756 14634 19512 29268 58536 2228407 4456814 6685221 8913628 13370442 17827256 20055663 26740884 40111326 53481768 60166989 80222652 120333978 160445304 240667956 481335912 603898297 1207796594 1811694891 2415593188 3623389782 4831186376 5435084673 7246779564 10870169346 14493559128 16305254019 21740338692 32610508038 43480677384 65221016076 130442032152