Search a number
-
+
10212040335252 = 22371631621460111
BaseRepresentation
bin1001010010011010110100…
…0010010101111110010100
31100011021001122112100020110
42110212231002111332110
52314303224311212002
633415202505203020
72102536610430450
oct224465502257624
940137048470213
1010212040335252
1132879a15a6308
12118b1b3790470
13590cb6a92512
142743a032b660
1512a98a453e6c
hex949ad095f94

10212040335252 has 96 divisors (see below), whose sum is σ = 27416137928704. Its totient is φ = 2898030441600.

The previous prime is 10212040335251. The next prime is 10212040335253. The reversal of 10212040335252 is 25253304021201.

It is an interprime number because it is at equal distance from previous prime (10212040335251) and next prime (10212040335253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212040335251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21964677 + ... + 22424787.

Almost surely, 210212040335252 is an apocalyptic number.

10212040335252 is a gapful number since it is divisible by the number (12) 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 10212040335252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708068964352).

10212040335252 is an abundant number, since it is smaller than the sum of its proper divisors (17204097593452).

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

10212040335252 is a wasteful number, since it uses less digits than its factorization.

10212040335252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461909 (or 461907 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10212040335252 its reverse (25253304021201), we get a palindrome (35465344356453).

The spelling of 10212040335252 in words is "ten trillion, two hundred twelve billion, forty million, three hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1621 1956 2282 3242 3423 4564 4863 6484 6846 9726 11347 13692 19452 22694 34041 45388 68082 136164 264223 460111 528446 792669 920222 1056892 1380333 1585338 1840444 1849561 2760666 3170676 3220777 3699122 5521332 5548683 6441554 7398244 9662331 11097366 12883108 19324662 22194732 38649324 74998093 149996186 224994279 299992372 449988558 524986651 745839931 899977116 1049973302 1491679862 1574959953 2099946604 2237519793 2983359724 3149919906 4475039586 5220879517 6299839812 8950079172 10441759034 15662638551 20883518068 31325277102 62650554204 121571908753 243143817506 364715726259 486287635012 729431452518 851003361271 1458862905036 1702006722542 2553010083813 3404013445084 5106020167626 10212040335252