Search a number
-
+
10020301212 = 2232978736587
BaseRepresentation
bin10010101010100000…
…11010100110011100
3221212022222001011010
421111100122212130
5131010144114322
64334145455220
7503212104105
oct112520324634
927768861133
1010020301212
114282220679
121b37941510
13c38c77a1c
146b0b293ac
153d9a6d20c
hex25541a99c

10020301212 has 48 divisors (see below), whose sum is σ = 24218328960. Its totient is φ = 3220738752.

The previous prime is 10020301171. The next prime is 10020301237. The reversal of 10020301212 is 21210302001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255583 + ... + 292169.

It is an arithmetic number, because the mean of its divisors is an integer number (504548520).

Almost surely, 210020301212 is an apocalyptic number.

10020301212 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 10020301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109164480).

10020301212 is an abundant number, since it is smaller than the sum of its proper divisors (14198027748).

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

10020301212 is a wasteful number, since it uses less digits than its factorization.

10020301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37410 (or 37408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10020301212 its reverse (21210302001), we get a palindrome (31230603213).

The spelling of 10020301212 in words is "ten billion, twenty million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 787 1574 2361 3148 4722 9444 22823 36587 45646 68469 73174 91292 109761 136938 146348 219522 273876 439044 1061023 2122046 3183069 4244092 6366138 12732276 28793969 57587938 86381907 115175876 172763814 345527628 835025101 1670050202 2505075303 3340100404 5010150606 10020301212