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1000312121220 = 2235196713096519
BaseRepresentation
bin11101000111001110011…
…11111010011110000100
310112121222110201211022020
432203213033322132010
5112342114400334340
62043312000203140
7132161444511306
oct16434717723604
93477873654266
101000312121220
11356259129215
12141a4a6094b0
1373437b4b859
14365b5a93976
151b048d6b9d0
hexe8e73fa784

1000312121220 has 96 divisors (see below), whose sum is σ = 2992292889600. Its totient is φ = 248938614144.

The previous prime is 1000312121189. The next prime is 1000312121299. The reversal of 1000312121220 is 221212130001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000312121220.

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 31 ways as a sum of consecutive naturals, for example, 6471880 + ... + 6624639.

It is an arithmetic number, because the mean of its divisors is an integer number (31169717600).

Almost surely, 21000312121220 is an apocalyptic number.

1000312121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000312121220 is an abundant number, since it is smaller than the sum of its proper divisors (1991980768380).

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

1000312121220 is a wasteful number, since it uses less digits than its factorization.

1000312121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096617 (or 13096615 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1000312121220 its reverse (221212130001), we get a palindrome (1221524251221).

The spelling of 1000312121220 in words is "one trillion, three hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 5092 6365 7638 12730 15276 19095 25460 38190 76380 13096519 26193038 39289557 52386076 65482595 78579114 130965190 157158228 196447785 248833861 261930380 392895570 497667722 746501583 785791140 877466773 995335444 1244169305 1493003166 1754933546 2488338610 2632400319 2986006332 3509867092 3732507915 4387333865 4976677220 5264800638 7465015830 8774667730 10529601276 13162001595 14930031660 16671868687 17549335460 26324003190 33343737374 50015606061 52648006380 66687474748 83359343435 100031212122 166718686870 200062424244 250078030305 333437373740 500156060610 1000312121220