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130301212032 = 2733191984363
BaseRepresentation
bin111100101011010001…
…1101011010110000000
3110110022220201101212000
41321112203223112000
54113324102241112
6135505355104000
712261662012355
oct1712643532600
9413286641760
10130301212032
11502957011a2
1221305742000
13c3974081c4
1464414b662c
1535c95117dc
hex1e568eb580

130301212032 has 128 divisors (see below), whose sum is σ = 404810256000. Its totient is φ = 41147730432.

The previous prime is 130301212007. The next prime is 130301212037. The reversal of 130301212032 is 230212103031.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 130301211996 and 130301212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301212037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926518 + ... + 1057845.

It is an arithmetic number, because the mean of its divisors is an integer number (3162580125).

Almost surely, 2130301212032 is an apocalyptic number.

130301212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130301212032 is an abundant number, since it is smaller than the sum of its proper divisors (274509043968).

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

130301212032 is a wasteful number, since it uses less digits than its factorization.

130301212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984405 (or 1984387 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130301212032 its reverse (230212103031), we get a palindrome (360513315063).

The spelling of 130301212032 in words is "one hundred thirty billion, three hundred one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 1984363 3968726 5953089 7937452 11906178 15874904 17859267 23812356 31749808 35718534 37702897 47624712 53577801 63499616 71437068 75405794 95249424 107155602 113108691 126999232 142874136 150811588 190498848 214311204 226217382 253998464 285748272 301623176 339326073 380997696 428622408 452434764 571496544 603246352 678652146 761995392 857244816 904869528 1017978219 1142993088 1206492704 1357304292 1714489632 1809739056 2035956438 2285986176 2412985408 2714608584 3428979264 3619478112 4071912876 4825970816 5429217168 6857958528 7238956224 8143825752 10858434336 14477912448 16287651504 21716868672 32575303008 43433737344 65150606016 130301212032