Search a number
-
+
1021202120 = 235198316189
BaseRepresentation
bin111100110111100…
…100111011001000
32122011120102221202
4330313210323020
54042411431440
6245155523332
734210034441
oct7467447310
92564512852
101021202120
114844952a4
12245bb9548
13133751813
14998aa2c8
155e9bd615
hex3cde4ec8

1021202120 has 64 divisors (see below), whose sum is σ = 2447928000. Its totient is φ = 382295808.

The previous prime is 1021202113. The next prime is 1021202123. The reversal of 1021202120 is 212021201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1021202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54986 + ... + 71174.

It is an arithmetic number, because the mean of its divisors is an integer number (38248875).

Almost surely, 21021202120 is an apocalyptic number.

1021202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223964000).

1021202120 is an abundant number, since it is smaller than the sum of its proper divisors (1426725880).

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

1021202120 is a wasteful number, since it uses less digits than its factorization.

1021202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16302 (or 16298 counting only the distinct ones).

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

The square root of 1021202120 is about 31956.2532221786. The cubic root of 1021202120 is about 1007.0180057113.

Adding to 1021202120 its reverse (212021201), we get a palindrome (1233223321).

The spelling of 1021202120 in words is "one billion, twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 152 166 190 332 380 415 664 760 830 1577 1660 3154 3320 6308 7885 12616 15770 16189 31540 32378 63080 64756 80945 129512 161890 307591 323780 615182 647560 1230364 1343687 1537955 2460728 2687374 3075910 5374748 6151820 6718435 10749496 12303640 13436870 25530053 26873740 51060106 53747480 102120212 127650265 204240424 255300530 510601060 1021202120