Search a number
-
+
202011122012 = 227537312714683
BaseRepresentation
bin1011110000100011001…
…1010001100101011100
3201022102111120021020212
42330020303101211130
511302204321401022
6232445211231552
720411011130330
oct2741063214534
9638374507225
10202011122012
1178744014a07
12331991485b8
1316084b8b9bb
149ac52337c0
1553c4cd23e2
hex2f08cd195c

202011122012 has 96 divisors (see below), whose sum is σ = 420598628352. Its totient is φ = 83113744896.

The previous prime is 202011121981. The next prime is 202011122021. The reversal of 202011122012 is 210221110202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13750823 + ... + 13765505.

It is an arithmetic number, because the mean of its divisors is an integer number (4381235712).

Almost surely, 2202011122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202011122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210299314176).

202011122012 is an abundant number, since it is smaller than the sum of its proper divisors (218587506340).

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

202011122012 is a wasteful number, since it uses less digits than its factorization.

202011122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14947 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202011122012 its reverse (210221110202), we get a palindrome (412232232214).

The spelling of 202011122012 in words is "two hundred two billion, eleven million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 28 53 73 106 127 146 212 254 292 371 508 511 742 889 1022 1484 1778 2044 3556 3869 6731 7738 9271 13462 14683 15476 18542 26924 27083 29366 37084 47117 54166 58732 64897 94234 102781 108332 129794 188468 205562 259588 411124 491363 778199 982726 1071859 1556398 1864741 1965452 2143718 3112796 3439541 3729482 4287436 5447393 6879082 7458964 7503013 10894786 13053187 13758164 15006026 21789572 26106374 30012052 52212748 56808527 98831273 113617054 136126093 197662546 227234108 272252186 395325092 397659689 544504372 691818911 795319378 952882651 1383637822 1590638756 1905765302 2767275644 3811530604 7214682929 14429365858 28858731716 50502780503 101005561006 202011122012