Search a number
-
+
10212313332 = 223131091274729
BaseRepresentation
bin10011000001011001…
…11000100011110100
3222100201021021021010
421200230320203310
5131403323011312
64405205152220
7511033142154
oct114054704364
928321237233
1010212313332
114370648181
121b900bb670
13c69996270
146cc42c764
153eb84a93c
hex260b388f4

10212313332 has 96 divisors (see below), whose sum is σ = 26106572800. Its totient is φ = 3088253952.

The previous prime is 10212313303. The next prime is 10212313351. The reversal of 10212313332 is 23331321201.

It is a junction number, because it is equal to n+sod(n) for n = 10212313299 and 10212313308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157144 + ... + 2161872.

Almost surely, 210212313332 is an apocalyptic number.

10212313332 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 10212313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053286400).

10212313332 is an abundant number, since it is smaller than the sum of its proper divisors (15894259468).

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

10212313332 is a wasteful number, since it uses less digits than its factorization.

10212313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10212313332 its reverse (23331321201), we get a palindrome (33543634533).

The spelling of 10212313332 in words is "ten billion, two hundred twelve million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 127 156 218 254 327 381 436 508 654 762 1308 1417 1524 1651 2834 3302 4251 4729 4953 5668 6604 8502 9458 9906 13843 14187 17004 18916 19812 27686 28374 41529 55372 56748 61477 83058 122954 166116 179959 184431 245908 359918 368862 515461 539877 600583 719836 737724 1030922 1079754 1201166 1546383 1801749 2061844 2159508 2402332 3092766 3603498 6185532 6700993 7206996 7807579 13401986 15615158 20102979 23422737 26803972 31230316 40205958 46845474 65463547 80411916 93690948 130927094 196390641 261854188 392781282 785562564 851026111 1702052222 2553078333 3404104444 5106156666 10212313332