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20151234000 = 243353373171
BaseRepresentation
bin10010110001000110…
…110110110111010000
31221000101002202022000
4102301012312313100
5312232203442000
613131330514000
71312236443232
oct226106666720
957011082260
1020151234000
1186009343a7
123aa4735900
131b91b19401
14d92412252
157ce191000
hex4b11b6dd0

20151234000 has 160 divisors (see below), whose sum is σ = 72186391680. Its totient is φ = 5373648000.

The previous prime is 20151233983. The next prime is 20151234011. The reversal of 20151234000 is 43215102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132586 + ... + 240585.

It is an arithmetic number, because the mean of its divisors is an integer number (451164948).

Almost surely, 220151234000 is an apocalyptic number.

20151234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20151234000 is an abundant number, since it is smaller than the sum of its proper divisors (52035157680).

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

20151234000 is a wasteful number, since it uses less digits than its factorization.

20151234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373203 (or 373181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20151234000 its reverse (43215102), we get a palindrome (20194449102).

The spelling of 20151234000 in words is "twenty billion, one hundred fifty-one million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 373171 746342 1119513 1492684 1865855 2239026 2985368 3358539 3731710 4478052 5597565 5970736 6717078 7463420 8956104 9329275 10075617 11195130 13434156 14926840 16792695 17912208 18658550 20151234 22390260 26868312 27987825 29853680 33585390 37317100 40302468 44780520 46646375 50378085 53736624 55975650 67170780 74634200 80604936 83963475 89561040 93292750 100756170 111951300 134341560 139939125 149268400 161209872 167926950 186585500 201512340 223902600 251890425 268683120 279878250 335853900 373171000 403024680 419817375 447805200 503780850 559756500 671707800 746342000 806049360 839634750 1007561700 1119513000 1259452125 1343415600 1679269500 2015123400 2239026000 2518904250 3358539000 4030246800 5037808500 6717078000 10075617000 20151234000