Search a number
-
+
1012020002021 = 722913920992441
BaseRepresentation
bin11101011101000010001…
…01111011110011100101
310120202012102011210110002
432232201011323303211
5113040104110031041
62052525432511045
7133054541040500
oct16564105736345
93522172153402
101012020002021
113602169a9366
1214417754b485
1374582614682
1436da6990137
151b4d1b3859b
hexeba117bce5

1012020002021 has 48 divisors (see below), whose sum is σ = 1227691080000. Its totient is φ = 830771746560.

The previous prime is 1012020002017. The next prime is 1012020002083. The reversal of 1012020002021 is 1202000202101.

It is a happy number.

It is not a de Polignac number, because 1012020002021 - 22 = 1012020002017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1012020001993 and 1012020002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020002821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 414591161 + ... + 414593601.

It is an arithmetic number, because the mean of its divisors is an integer number (25576897500).

Almost surely, 21012020002021 is an apocalyptic number.

It is an amenable number.

1012020002021 is a deficient number, since it is larger than the sum of its proper divisors (215671077979).

1012020002021 is a wasteful number, since it uses less digits than its factorization.

1012020002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012020002021 its reverse (1202000202101), we get a palindrome (2214020204122).

The spelling of 1012020002021 in words is "one trillion, twelve billion, twenty million, two thousand, twenty-one".

Divisors: 1 7 29 49 139 203 973 1421 2099 2441 4031 6811 14693 17087 28217 60871 70789 102851 119609 197519 291761 339299 426097 495523 2042327 2375093 2982679 3468661 5123659 8461069 9839671 14296289 16625651 35865613 59227483 68877697 148586111 251059291 414592381 482143879 712188601 1040102777 4985320207 7280719439 20653469429 34897241449 144574286003 1012020002021