Search a number
-
+
130022100 = 2232521311113
BaseRepresentation
bin1111011111111…
…11101011010100
3100001122210210100
413233333223110
5231241201400
620522454100
73136112115
oct757775324
9301583710
10130022100
116743758a
1237664330
1320c25870
14133a820c
15b635100
hex7bffad4

130022100 has 108 divisors (see below), whose sum is σ = 438936316. Its totient is φ = 32002560.

The previous prime is 130022089. The next prime is 130022117. The reversal of 130022100 is 1220031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 53494596 + 76527504 = 7314^2 + 8748^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6144 + ... + 17256.

Almost surely, 2130022100 is an apocalyptic number.

130022100 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 130022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219468158).

130022100 is an abundant number, since it is smaller than the sum of its proper divisors (308914216).

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

130022100 is a wasteful number, since it uses less digits than its factorization.

130022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11146 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130022100 is about 11402.7233589174. The cubic root of 130022100 is about 506.6084064667.

Adding to 130022100 its reverse (1220031), we get a palindrome (131242131).

The spelling of 130022100 in words is "one hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11113 11700 22226 33339 44452 55565 66678 100017 111130 133356 144469 166695 200034 222260 277825 288938 333390 400068 433407 500085 555650 577876 666780 722345 833475 866814 1000170 1111300 1300221 1444690 1666950 1733628 2000340 2167035 2500425 2600442 2889380 3333900 3611725 4334070 5000850 5200884 6501105 7223450 8668140 10001700 10835175 13002210 14446900 21670350 26004420 32505525 43340700 65011050 130022100