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130323133020100 = 225278710611560743
BaseRepresentation
bin11101101000011100111000…
…000011001011011111000100
3122002102202210012210111101011
4131220130320003023133010
5114040203234023120400
61141101342032012004
736310351504103326
oct3550347003133704
9562382705714334
10130323133020100
1138585804088959
12127495b5691004
135794559ba8267
14242795d737616
15101000ca908ba
hex7687380cb7c4

130323133020100 has 72 divisors (see below), whose sum is σ = 283427601847488. Its totient is φ = 52013912188800.

The previous prime is 130323133020083. The next prime is 130323133020127. The reversal of 130323133020100 is 1020331323031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82720329 + ... + 84281071.

It is an arithmetic number, because the mean of its divisors is an integer number (3936494470104).

Almost surely, 2130323133020100 is an apocalyptic number.

130323133020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130323133020100 is an abundant number, since it is smaller than the sum of its proper divisors (153104468827388).

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

130323133020100 is a wasteful number, since it uses less digits than its factorization.

130323133020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562605 (or 1562598 counting only the distinct ones).

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

Adding to 130323133020100 its reverse (1020331323031), we get a palindrome (131343464343131).

The spelling of 130323133020100 in words is "one hundred thirty trillion, three hundred twenty-three billion, one hundred thirty-three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 787 1061 1574 2122 3148 3935 4244 5305 7870 10610 15740 19675 21220 26525 39350 53050 78700 106100 835007 1560743 1670014 3121486 3340028 4175035 6242972 7803715 8350070 15607430 16700140 20875175 31214860 39018575 41750350 78037150 83500700 156074300 1228304741 1655948323 2456609482 3311896646 4913218964 6141523705 6623793292 8279741615 12283047410 16559483230 24566094820 30707618525 33118966460 41398708075 61415237050 82797416150 122830474100 165594832300 1303231330201 2606462660402 5212925320804 6516156651005 13032313302010 26064626604020 32580783255025 65161566510050 130323133020100