Search a number
-
+
10321122000 = 243537245741
BaseRepresentation
bin10011001110010111…
…11101001011010000
3222122022000022200210
421213023331023100
5132114201401000
64424053244120
7513524042460
oct114713751320
928568008623
1010321122000
1144170057a2
122000633640
13c863a22a7
146dca73ba0
15406190350
hex2672fd2d0

10321122000 has 160 divisors (see below), whose sum is σ = 38029065984. Its totient is φ = 2359104000.

The previous prime is 10321121977. The next prime is 10321122001. The reversal of 10321122000 is 22112301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321122001) 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, 80871 + ... + 164870.

Almost surely, 210321122000 is an apocalyptic number.

10321122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321122000 is an abundant number, since it is smaller than the sum of its proper divisors (27707943984).

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

10321122000 is a wasteful number, since it uses less digits than its factorization.

10321122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245774 (or 245758 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10321122000 its reverse (22112301), we get a palindrome (10343234301).

The spelling of 10321122000 in words is "ten billion, three hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 245741 491482 737223 982964 1228705 1474446 1720187 1965928 2457410 2948892 3440374 3686115 3931856 4914820 5160561 5897784 6143525 6880748 7372230 8600935 9829640 10321122 11795568 12287050 13761496 14744460 17201870 18430575 19659280 20642244 24574100 25802805 27522992 29488920 30717625 34403740 36861150 41284488 43004675 49148200 51605610 58977840 61435250 68807480 73722300 82568976 86009350 92152875 98296400 103211220 122870500 129014025 137614960 147444600 172018700 184305750 206422440 215023375 245741000 258028050 294889200 344037400 368611500 412844880 430046750 491482000 516056100 645070125 688074800 737223000 860093500 1032112200 1290140250 1474446000 1720187000 2064224400 2580280500 3440374000 5160561000 10321122000