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130012100010 = 232513313584563
BaseRepresentation
bin111100100010101010…
…0110011010110101010
3110102120202200222201100
41321011110303112222
54112231044200020
6135420550302230
712251551421232
oct1710524632652
9412522628640
10130012100010
1150157494041
1221244957976
13c34c5501c0
146414d38cc2
1535ade53a90
hex1e455335aa

130012100010 has 96 divisors (see below), whose sum is σ = 375777013248. Its totient is φ = 30970615680.

The previous prime is 130012100003. The next prime is 130012100039. The reversal of 130012100010 is 10001210031.

It is a super-2 number, since 2×1300121000102 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130012099965 and 130012100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756012 + ... + 1828551.

It is an arithmetic number, because the mean of its divisors is an integer number (3914343888).

Almost surely, 2130012100010 is an apocalyptic number.

130012100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130012100010 is an abundant number, since it is smaller than the sum of its proper divisors (245764913238).

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

130012100010 is a wasteful number, since it uses less digits than its factorization.

130012100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584620 (or 3584617 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 130012100010 its reverse (10001210031), we get a palindrome (140013310041).

The spelling of 130012100010 in words is "one hundred thirty billion, twelve million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 36270 3584563 7169126 10753689 17922815 21507378 32261067 35845630 46599319 53768445 64522134 93198638 107536890 111121453 139797957 161305335 222242906 232996595 279595914 322610670 333364359 419393871 465993190 555607265 666728718 698989785 838787742 1000093077 1111214530 1397979570 1444578889 1666821795 2000186154 2096969355 2889157778 3333643590 4193938710 4333736667 5000465385 7222894445 8667473334 10000930770 13001210001 14445788890 21668683335 26002420002 43337366670 65006050005 130012100010