Search a number
-
+
130331131120 = 24561245910861
BaseRepresentation
bin111100101100001010…
…1110011110011110000
3110110102000000110010101
41321120111303303300
54113404232143440
6135512344242144
712262504223131
oct1713025636360
9413360013111
10130331131120
1150300586913
1221313770354
13c3a06823c8
146445463c88
1535cbe7169a
hex1e58573cf0

130331131120 has 80 divisors (see below), whose sum is σ = 308141036640. Its totient is φ = 51252249600.

The previous prime is 130331131109. The next prime is 130331131127. The reversal of 130331131120 is 21131133031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331131127) 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, 11994490 + ... + 12005350.

It is an arithmetic number, because the mean of its divisors is an integer number (3851762958).

Almost surely, 2130331131120 is an apocalyptic number.

130331131120 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 130331131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154070518320).

130331131120 is an abundant number, since it is smaller than the sum of its proper divisors (177809905520).

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

130331131120 is a wasteful number, since it uses less digits than its factorization.

130331131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130331131120 its reverse (21131133031), we get a palindrome (151462264151).

The spelling of 130331131120 in words is "one hundred thirty billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 2459 4880 4918 9836 10861 12295 19672 21722 24590 39344 43444 49180 54305 86888 98360 108610 149999 173776 196720 217220 299998 434440 599996 662521 749995 868880 1199992 1325042 1499990 2399984 2650084 2999980 3312605 5300168 5999960 6625210 10600336 11999920 13250420 26500840 26707199 53001680 53414398 106828796 133535995 213657592 267071990 427315184 534143980 1068287960 1629139139 2136575920 3258278278 6516556556 8145695695 13033113112 16291391390 26066226224 32582782780 65165565560 130331131120