Search a number
-
+
130120313100 = 22352479228391
BaseRepresentation
bin111100100101111000…
…1100110100100001100
3110102212022022210011120
41321023301212210030
54112441300004400
6135435413520540
712254334261261
oct1711361464414
9412768283146
10130120313100
1150202585148
1221275043150
13c368aab10b
146425467268
1535b86cbca0
hex1e4bc6690c

130120313100 has 72 divisors (see below), whose sum is σ = 384491724288. Its totient is φ = 33960475200.

The previous prime is 130120313083. The next prime is 130120313101. The reversal of 130120313100 is 1313021031.

It is a super-2 number, since 2×1301203131002 (a number of 23 digits) contains 22 as substring.

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 130120313100.

It is not an unprimeable number, because it can be changed into a prime (130120313101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4600096 + ... + 4628295.

Almost surely, 2130120313100 is an apocalyptic number.

130120313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130120313100 is an abundant number, since it is smaller than the sum of its proper divisors (254371411188).

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

130120313100 is a wasteful number, since it uses less digits than its factorization.

130120313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228455 (or 9228448 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130120313100 its reverse (1313021031), we get a palindrome (131433334131).

The spelling of 130120313100 in words is "one hundred thirty billion, one hundred twenty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 9228391 18456782 27685173 36913564 46141955 55370346 92283910 110740692 138425865 184567820 230709775 276851730 433734377 461419550 553703460 692129325 867468754 922839100 1301203131 1384258650 1734937508 2168671885 2602406262 2768517300 4337343770 5204812524 6506015655 8674687540 10843359425 13012031310 21686718850 26024062620 32530078275 43373437700 65060156550 130120313100