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10212408348 = 22329472932131
BaseRepresentation
bin10011000001011010…
…01111110000011100
3222100201110002121020
421200231033300130
5131403334031343
64405211204140
7511034016162
oct114055176034
928321402536
1010212408348
1143707025aa
121b90146650
13c699ca59c
146cc455232
153eb868b83
hex260b4fc1c

10212408348 has 96 divisors (see below), whose sum is σ = 25272898560. Its totient is φ = 3204337920.

The previous prime is 10212408343. The next prime is 10212408379. The reversal of 10212408348 is 84380421201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212408343) 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, 4791243 + ... + 4793373.

It is an arithmetic number, because the mean of its divisors is an integer number (263259360).

Almost surely, 210212408348 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 10212408348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636449280).

10212408348 is an abundant number, since it is smaller than the sum of its proper divisors (15060490212).

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

10212408348 is a wasteful number, since it uses less digits than its factorization.

10212408348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 10212408348 its reverse (84380421201), we get a palindrome (94592829549).

The spelling of 10212408348 in words is "ten billion, two hundred twelve million, four hundred eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 293 348 564 586 879 1172 1363 1758 2131 2726 3516 4089 4262 5452 6393 8178 8497 8524 12786 13771 16356 16994 25491 25572 27542 33988 41313 50982 55084 61799 82626 100157 101964 123598 165252 185397 200314 247196 300471 370794 399359 400628 600942 624383 741588 798718 1198077 1201884 1248766 1597436 1873149 2396154 2497532 2904553 3746298 4792308 5809106 7492596 8713659 11618212 17427318 18107107 29346001 34854636 36214214 54321321 58692002 72428428 88038003 108642642 117384004 176076006 217285284 352152012 851034029 1702068058 2553102087 3404136116 5106204174 10212408348