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130032221000 = 23531147251513
BaseRepresentation
bin111100100011010000…
…1100011101101001000
3110102122011120020112012
41321012201203231020
54112301222033000
6135422545435052
712252214433063
oct1710641435510
9412564506465
10130032221000
1150167887260
122124b63ba88
13c353776706
1464178958da
1535b0aca735
hex1e46863b48

130032221000 has 128 divisors (see below), whose sum is σ = 339000629760. Its totient is φ = 46278208000.

The previous prime is 130032220979. The next prime is 130032221029. The reversal of 130032221000 is 122230031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391244 + ... + 642756.

It is an arithmetic number, because the mean of its divisors is an integer number (2648442420).

Almost surely, 2130032221000 is an apocalyptic number.

130032221000 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 130032221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169500314880).

130032221000 is an abundant number, since it is smaller than the sum of its proper divisors (208968408760).

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

130032221000 is a wasteful number, since it uses less digits than its factorization.

130032221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251592 (or 251578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130032221000 its reverse (122230031), we get a palindrome (130154451031).

The spelling of 130032221000 in words is "one hundred thirty billion, thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 940 1000 1034 1100 1175 1375 1880 2068 2200 2350 2585 2750 4136 4700 5170 5500 5875 9400 10340 11000 11750 12925 20680 23500 25850 47000 51700 64625 103400 129250 251513 258500 503026 517000 1006052 1257565 2012104 2515130 2766643 5030260 5533286 6287825 10060520 11066572 11821111 12575650 13833215 22133144 23642222 25151300 27666430 31439125 47284444 50302600 55332860 59105555 62878250 69166075 94568888 110665720 118211110 125756500 130032221 138332150 236422220 251513000 260064442 276664300 295527775 345830375 472844440 520128884 553328600 591055550 650161105 691660750 1040257768 1182111100 1300322210 1383321500 1477638875 2364222200 2600644420 2766643000 2955277750 3250805525 5201288840 5910555500 6501611050 11821111000 13003222100 16254027625 26006444200 32508055250 65016110500 130032221000