Search a number
-
+
13213121250 = 235474112277
BaseRepresentation
bin11000100111001000…
…00011101011100010
31021002211211002212010
430103210003223202
5204030024340000
610023043013350
7645301451250
oct142344035342
937084732763
1013213121250
11567050a61a
12268906a256
1313275a1454
148d4ba55d0
15524eedd50
hex313903ae2

13213121250 has 160 divisors (see below), whose sum is σ = 38663323776. Its totient is φ = 2946240000.

The previous prime is 13213121203. The next prime is 13213121279. The reversal of 13213121250 is 5212131231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1070112 + ... + 1082388.

Almost surely, 213213121250 is an apocalyptic number.

13213121250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213121250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331661888).

13213121250 is an abundant number, since it is smaller than the sum of its proper divisors (25450202526).

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

13213121250 is a wasteful number, since it uses less digits than its factorization.

13213121250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13213121250 its reverse (5212131231), we get a palindrome (18425252481).

The spelling of 13213121250 in words is "thirteen billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 125 150 175 205 210 246 250 287 350 375 410 525 574 615 625 750 861 875 1025 1050 1230 1250 1435 1722 1750 1875 2050 2625 2870 3075 3750 4305 4375 5125 5250 6150 7175 8610 8750 10250 12277 13125 14350 15375 21525 24554 25625 26250 30750 35875 36831 43050 51250 61385 71750 73662 76875 85939 107625 122770 153750 171878 179375 184155 215250 257817 306925 358750 368310 429695 503357 515634 538125 613850 859390 920775 1006714 1076250 1289085 1510071 1534625 1841550 2148475 2516785 2578170 3020142 3069250 3523499 4296950 4603875 5033570 6445425 7046998 7550355 7673125 9207750 10570497 10742375 12583925 12890850 15100710 15346250 17617495 21140994 21484750 23019375 25167850 32227125 35234990 37751775 46038750 52852485 53711875 62919625 64454250 75503550 88087475 105704970 107423750 125839250 161135625 176174950 188758875 264262425 314598125 322271250 377517750 440437375 528524850 629196250 880874750 943794375 1321312125 1887588750 2202186875 2642624250 4404373750 6606560625 13213121250