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130120333312 = 211557114067
BaseRepresentation
bin111100100101111000…
…1101011100000000000
3110102212022100210220011
41321023301223200000
54112441301131222
6135435414154304
712254334404224
oct1711361534000
9412768323804
10130120333312
1150202599352
1221275052994
13c368ab7388
146425470784
1535b86d2c77
hex1e4bc6b800

130120333312 has 48 divisors (see below), whose sum is σ = 260646520680. Its totient is φ = 64942792704.

The previous prime is 130120333249. The next prime is 130120333319. The reversal of 130120333312 is 213333021031.

130120333312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1301203333122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120333319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1083703 + ... + 1197769.

Almost surely, 2130120333312 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 130120333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130323260340).

130120333312 is an abundant number, since it is smaller than the sum of its proper divisors (130526187368).

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

130120333312 is an equidigital number, since it uses as much as digits as its factorization.

130120333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114646 (or 114626 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 130120333312 its reverse (213333021031), we get a palindrome (343453354343).

The spelling of 130120333312 in words is "one hundred thirty billion, one hundred twenty million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 557 1024 1114 2048 2228 4456 8912 17824 35648 71296 114067 142592 228134 285184 456268 570368 912536 1140736 1825072 3650144 7300288 14600576 29201152 58402304 63535319 116804608 127070638 233609216 254141276 508282552 1016565104 2033130208 4066260416 8132520832 16265041664 32530083328 65060166656 130120333312