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10103233212 = 223217791012069
BaseRepresentation
bin10010110100011001…
…10001101010111100
3222002010000102110200
421122030301222330
5131142411430322
64350311203500
7505240031262
oct113214615274
928063012420
1010103233212
114315014716
121b5b676590
13c501c3807
146bbb56432
153e1ea08ac
hex25a331abc

10103233212 has 144 divisors (see below), whose sum is σ = 27667785600. Its totient is φ = 3097036800.

The previous prime is 10103233201. The next prime is 10103233213. The reversal of 10103233212 is 21233230101.

10103233212 is a `hidden beast` number, since 10 + 10 + 323 + 321 + 2 = 666.

10103233212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103233213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4882114 + ... + 4884182.

It is an arithmetic number, because the mean of its divisors is an integer number (192137400).

Almost surely, 210103233212 is an apocalyptic number.

10103233212 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 10103233212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833892800).

10103233212 is an abundant number, since it is smaller than the sum of its proper divisors (17564552388).

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

10103233212 is a wasteful number, since it uses less digits than its factorization.

10103233212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10103233212 its reverse (21233230101), we get a palindrome (31336463313).

The spelling of 10103233212 in words is "ten billion, one hundred three million, two hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 101 102 153 158 202 204 237 303 306 316 404 474 606 612 711 909 948 1212 1343 1422 1717 1818 2069 2686 2844 3434 3636 4029 4138 5151 5372 6207 6868 7979 8058 8276 10302 12087 12414 15453 15958 16116 18621 20604 23937 24174 24828 30906 31916 35173 37242 47874 48348 61812 70346 71811 74484 95748 105519 135643 140692 143622 163451 208969 211038 271286 287244 316557 326902 406929 417938 422076 490353 542572 626907 633114 653804 813858 835876 980706 1220787 1253814 1266228 1471059 1627716 1880721 1961412 2441574 2507628 2778667 2942118 3552473 3761442 4883148 5557334 5884236 7104946 7522884 8336001 10657419 11114668 14209892 16508551 16672002 21314838 25008003 31972257 33017102 33344004 42629676 49525653 50016006 63944514 66034204 99051306 100032012 127889028 148576959 198102612 280645367 297153918 561290734 594307836 841936101 1122581468 1683872202 2525808303 3367744404 5051616606 10103233212