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130012221000 = 2335381153437
BaseRepresentation
bin111100100010101010…
…1010000111001001000
3110102120202221010200110
41321011111100321020
54112231112033000
6135420553034320
712251552434044
oct1710525207110
9412522833613
10130012221000
1150157566a32
12212449b59a0
13c34c5932ac
146414d6b024
1535ade79850
hex1e45550e48

130012221000 has 128 divisors (see below), whose sum is σ = 406145900160. Its totient is φ = 34626528000.

The previous prime is 130012220981. The next prime is 130012221029. The reversal of 130012221000 is 122210031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406282 + ... + 2459718.

It is an arithmetic number, because the mean of its divisors is an integer number (3173014845).

Almost surely, 2130012221000 is an apocalyptic number.

130012221000 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 130012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203072950080).

130012221000 is an abundant number, since it is smaller than the sum of its proper divisors (276133679160).

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

130012221000 is a wasteful number, since it uses less digits than its factorization.

130012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54272 (or 54258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130012221000 its reverse (122210031), we get a palindrome (130134431031).

The spelling of 130012221000 in words is "one hundred thirty billion, twelve million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 811 1000 1500 1622 2433 3000 3244 4055 4866 6488 8110 9732 12165 16220 19464 20275 24330 32440 40550 48660 53437 60825 81100 97320 101375 106874 121650 160311 162200 202750 213748 243300 267185 304125 320622 405500 427496 486600 534370 608250 641244 801555 811000 1068740 1216500 1282488 1335925 1603110 2137480 2433000 2671850 3206220 4007775 5343700 6412440 6679625 8015550 10687400 13359250 16031100 20038875 26718500 32062200 40077750 43337407 53437000 80155500 86674814 130012221 160311000 173349628 216687035 260024442 346699256 433374070 520048884 650061105 866748140 1040097768 1083435175 1300122210 1733496280 2166870350 2600244420 3250305525 4333740700 5200488840 5417175875 6500611050 8667481400 10834351750 13001222100 16251527625 21668703500 26002444200 32503055250 43337407000 65006110500 130012221000