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1020013123212 = 2232139439464327
BaseRepresentation
bin11101101011111011000…
…01010001011010001100
310121111211110122102101200
432311331201101122030
5113202441324420322
62100330525105500
7133456606331016
oct16657541213214
93544743572350
101020013123212
113636488a8646
121458283b8290
13752575b9795
14375243871b6
151b7ed7258ac
hexed7d85168c

1020013123212 has 72 divisors (see below), whose sum is σ = 2602837036800. Its totient is φ = 336788648928.

The previous prime is 1020013123211. The next prime is 1020013123229. The reversal of 1020013123212 is 2123213100201.

1020013123212 is a `hidden beast` number, since 10 + 20 + 0 + 1 + 312 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020013123211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1964593 + ... + 2428919.

It is an arithmetic number, because the mean of its divisors is an integer number (36150514400).

Almost surely, 21020013123212 is an apocalyptic number.

1020013123212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020013123212 is an abundant number, since it is smaller than the sum of its proper divisors (1582823913588).

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

1020013123212 is a wasteful number, since it uses less digits than its factorization.

1020013123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464915 (or 464910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020013123212 its reverse (2123213100201), we get a palindrome (3143226223413).

The spelling of 1020013123212 in words is "one trillion, twenty billion, thirteen million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 439 556 834 878 1251 1317 1668 1756 2502 2634 3951 5004 5268 7902 15804 61021 122042 183063 244084 366126 464327 549189 732252 928654 1098378 1392981 1857308 2196756 2785962 4178943 5571924 8357886 16715772 64541453 129082906 193624359 203839553 258165812 387248718 407679106 580873077 611518659 774497436 815358212 1161746154 1223037318 1834555977 2323492308 2446074636 3669111954 7338223908 28333697867 56667395734 85001093601 113334791468 170002187202 255003280803 340004374404 510006561606 1020013123212