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1214110000 = 2454317383
BaseRepresentation
bin100100001011101…
…1101100100110000
310010121120011211001
41020113131210300
54441303010000
6320250331344
742041523205
oct11027354460
93117504731
101214110000
115733738a4
1229a729b54
131646c49ac
14b7363cac
15718c646a
hex485dd930

1214110000 has 100 divisors (see below), whose sum is σ = 2956453632. Its totient is φ = 482848000.

The previous prime is 1214109997. The next prime is 1214110003. The reversal of 1214110000 is 114121.

It is an interprime number because it is at equal distance from previous prime (1214109997) and next prime (1214110003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1214110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3169809 + ... + 3170191.

Almost surely, 21214110000 is an apocalyptic number.

1214110000 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 1214110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478226816).

1214110000 is an abundant number, since it is smaller than the sum of its proper divisors (1742343632).

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

1214110000 is an equidigital number, since it uses as much as digits as its factorization.

1214110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1214110000 is about 34844.0812764521. The cubic root of 1214110000 is about 1066.8073816096.

Adding to 1214110000 its reverse (114121), we get a palindrome (1214224121).

The spelling of 1214110000 in words is "one billion, two hundred fourteen million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 383 400 500 625 634 766 1000 1250 1268 1532 1585 1915 2000 2500 2536 3064 3170 3830 5000 5072 6128 6340 7660 7925 9575 10000 12680 15320 15850 19150 25360 30640 31700 38300 39625 47875 63400 76600 79250 95750 121411 126800 153200 158500 191500 198125 239375 242822 317000 383000 396250 478750 485644 607055 634000 766000 792500 957500 971288 1214110 1585000 1915000 1942576 2428220 3035275 3170000 3830000 4856440 6070550 9712880 12141100 15176375 24282200 30352750 48564400 60705500 75881875 121411000 151763750 242822000 303527500 607055000 1214110000