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1200101020 = 225731934259
BaseRepresentation
bin100011110001000…
…0001011010011100
310002122012110002221
41013202001122130
54424211213040
6315030155124
741511455536
oct10742013234
93078173087
101200101020
11566475728
12295ab2aa4
1316182b461
14b5558856
157055a74a
hex4788169c

1200101020 has 48 divisors (see below), whose sum is σ = 2568575520. Its totient is φ = 470900736.

The previous prime is 1200101011. The next prime is 1200101027. The reversal of 1200101020 is 201010021.

It is a junction number, because it is equal to n+sod(n) for n = 1200100994 and 1200101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279651 + ... + 283909.

It is an arithmetic number, because the mean of its divisors is an integer number (53511990).

Almost surely, 21200101020 is an apocalyptic number.

1200101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200101020 is an abundant number, since it is smaller than the sum of its proper divisors (1368474500).

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

1200101020 is a wasteful number, since it uses less digits than its factorization.

1200101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1200101020 is about 34642.4742187968. The cubic root of 1200101020 is about 1062.6883877261.

Adding to 1200101020 its reverse (201010021), we get a palindrome (1401111041).

Subtracting from 1200101020 its reverse (201010021), we obtain a palindrome (999090999).

The spelling of 1200101020 in words is "one billion, two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 193 292 365 386 730 772 965 1460 1930 3860 4259 8518 14089 17036 21295 28178 42590 56356 70445 85180 140890 281780 310907 621814 821987 1243628 1554535 1643974 3109070 3287948 4109935 6218140 8219870 16439740 60005051 120010102 240020204 300025255 600050510 1200101020