Search a number
-
+
1022101010 = 257194783197
BaseRepresentation
bin111100111011000…
…000011000010010
32122020021002222222
4330323000120102
54043124213020
6245231101042
734220500220
oct7473003022
92566232888
101022101010
11484a49687
12246371782
131339a79c8
1499a61b10
155eae9b25
hex3cec0612

1022101010 has 128 divisors (see below), whose sum is σ = 2299207680. Its totient is φ = 319382784.

The previous prime is 1022101007. The next prime is 1022101037. The reversal of 1022101010 is 101012201.

It is a super-3 number, since 3×10221010103 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5188232 + ... + 5188428.

It is an arithmetic number, because the mean of its divisors is an integer number (17962560).

Almost surely, 21022101010 is an apocalyptic number.

1022101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022101010 is an abundant number, since it is smaller than the sum of its proper divisors (1277106670).

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

1022101010 is a wasteful number, since it uses less digits than its factorization.

1022101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1022101010 is about 31970.3145120595. The cubic root of 1022101010 is about 1007.3133873123.

Adding to 1022101010 its reverse (101012201), we get a palindrome (1123113211).

The spelling of 1022101010 in words is "one billion, twenty-two million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 47 70 83 94 95 133 166 190 197 235 266 329 394 415 470 581 658 665 830 893 985 1162 1330 1379 1577 1645 1786 1970 2758 2905 3154 3290 3743 3901 4465 5810 6251 6895 7486 7802 7885 8930 9259 11039 12502 13790 15770 16351 18518 18715 19505 22078 26201 27307 31255 32702 37430 39010 46295 52402 54614 55195 62510 64813 74119 81755 92590 110390 114457 129626 131005 136535 148238 163510 175921 228914 262010 273070 310669 324065 351842 370595 518833 572285 621338 648130 741190 768497 879605 1037666 1144570 1231447 1536994 1553345 1759210 2174683 2462894 2594165 3106690 3842485 4349366 5188330 5379479 6157235 7684970 10758958 10873415 12314470 14601443 21746830 26897395 29202886 53794790 73007215 102210101 146014430 204420202 511050505 1022101010