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1012000020200 = 235213229940829
BaseRepresentation
bin11101011100111111110…
…01101101011011101000
310120202011000120121112122
432232133321231123220
5113040034001121300
62052523440330412
7133054206145451
oct16563771553350
93522130517478
101012000020200
113602066a0764
12144170913a08
137457b439600
1436da406c128
151b4ceedcc85
hexeb9fe6d6e8

1012000020200 has 72 divisors (see below), whose sum is σ = 2547814928850. Its totient is φ = 373661533440.

The previous prime is 1012000020173. The next prime is 1012000020211. The reversal of 1012000020200 is 20200002101.

It can be written as a sum of positive squares in 9 ways, for example, as 228707758756 + 783292261444 = 478234^2 + 885038^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14936615 + ... + 15004214.

Almost surely, 21012000020200 is an apocalyptic number.

1012000020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012000020200 is an abundant number, since it is smaller than the sum of its proper divisors (1535814908650).

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

1012000020200 is a wasteful number, since it uses less digits than its factorization.

1012000020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29940871 (or 29940849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1012000020200 its reverse (20200002101), we get a palindrome (1032200022301).

The spelling of 1012000020200 in words is "one trillion, twelve billion, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 29940829 59881658 119763316 149704145 239526632 299408290 389230777 598816580 748520725 778461554 1197633160 1497041450 1556923108 1946153885 2994082900 3113846216 3892307770 5060000101 5988165800 7784615540 9730769425 10120000202 15569231080 19461538850 20240000404 25300000505 38923077700 40480000808 50600001010 77846155400 101200002020 126500002525 202400004040 253000005050 506000010100 1012000020200