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10044334212 = 22311675572039
BaseRepresentation
bin10010101101011000…
…00110000010000100
3221221000012001020020
421112230012002010
5131032322143322
64340404535140
7503623301133
oct112654060204
927830161206
1010044334212
114294845a60
121b439b14b0
13c40c40a33
146b3dc391a
153dbc1905c
hex256b06084

10044334212 has 96 divisors (see below), whose sum is σ = 26008335360. Its totient is φ = 2991457920.

The previous prime is 10044334199. The next prime is 10044334219. The reversal of 10044334212 is 21243344001.

It is not an unprimeable number, because it can be changed into a prime (10044334219) 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, 4925089 + ... + 4927127.

It is an arithmetic number, because the mean of its divisors is an integer number (270920160).

Almost surely, 210044334212 is an apocalyptic number.

10044334212 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 10044334212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004167680).

10044334212 is an abundant number, since it is smaller than the sum of its proper divisors (15964001148).

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

10044334212 is a wasteful number, since it uses less digits than its factorization.

10044334212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10044334212 its reverse (21243344001), we get a palindrome (31287678213).

The spelling of 10044334212 in words is "ten billion, forty-four million, three hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 557 737 804 1114 1474 1671 2039 2211 2228 2948 3342 4078 4422 6117 6127 6684 8156 8844 12234 12254 18381 22429 24468 24508 36762 37319 44858 67287 73524 74638 89716 111957 134574 136613 149276 223914 269148 273226 409839 410509 447828 546452 819678 821018 1135723 1231527 1502743 1639356 1642036 2271446 2463054 3005486 3407169 4508229 4542892 4926108 6010972 6814338 9016458 12492953 13628676 18032916 24985906 37478859 49971812 74957718 76093441 149915436 152186882 228280323 304373764 456560646 837027851 913121292 1674055702 2511083553 3348111404 5022167106 10044334212