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10312234000 = 2453172313187
BaseRepresentation
bin10011001101010100…
…00011010000010000
3222121200021202122121
421212222003100100
5132104412442000
64423134544024
7513355354105
oct114652032020
928550252577
1010312234000
114411a95042
121bb9668014
13c845ac913
146db7dcaac
154054d6b1a
hex266a83410

10312234000 has 160 divisors (see below), whose sum is σ = 27551736576. Its totient is φ = 3713177600.

The previous prime is 10312233947. The next prime is 10312234001. The reversal of 10312234000 is 43221301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10312234001) 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, 775407 + ... + 788593.

Almost surely, 210312234000 is an apocalyptic number.

10312234000 is a gapful number since it is divisible by the number (10) 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 10312234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775868288).

10312234000 is an abundant number, since it is smaller than the sum of its proper divisors (17239502576).

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

10312234000 is a wasteful number, since it uses less digits than its factorization.

10312234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10312234000 its reverse (43221301), we get a palindrome (10355455301).

The spelling of 10312234000 in words is "ten billion, three hundred twelve million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 34 40 46 50 68 80 85 92 100 115 125 136 170 184 200 230 250 272 340 368 391 400 425 460 500 575 680 782 850 920 1000 1150 1360 1564 1700 1840 1955 2000 2125 2300 2875 3128 3400 3910 4250 4600 5750 6256 6800 7820 8500 9200 9775 11500 13187 15640 17000 19550 23000 26374 31280 34000 39100 46000 48875 52748 65935 78200 97750 105496 131870 156400 195500 210992 224179 263740 303301 329675 391000 448358 527480 606602 659350 782000 896716 1054960 1120895 1213204 1318700 1516505 1648375 1793432 2241790 2426408 2637400 3033010 3296750 3586864 4483580 4852816 5156117 5274800 5604475 6066020 6593500 7582525 8967160 10312234 11208950 12132040 13187000 15165050 17934320 20624468 22417900 24264080 25780585 26374000 28022375 30330100 37912625 41248936 44835800 51561170 56044750 60660200 75825250 82497872 89671600 103122340 112089500 121320400 128902925 151650500 206244680 224179000 257805850 303301000 412489360 448358000 515611700 606602000 644514625 1031223400 1289029250 2062446800 2578058500 5156117000 10312234000