Search a number
-
+
103012212000 = 253538584351
BaseRepresentation
bin101111111110000000…
…0011001110100100000
3100211220002122120022010
41133330000121310200
53141432111241000
6115153445112520
710304511232455
oct1377400316440
9324802576263
10103012212000
113a761787605
1217b6a6b8740
1399388ab5c9
144db312582c
152a2d8e1d50
hex17fc019d20

103012212000 has 96 divisors (see below), whose sum is σ = 337468045824. Its totient is φ = 27469920000.

The previous prime is 103012211959. The next prime is 103012212041. The reversal of 103012212000 is 212210301.

It is an interprime number because it is at equal distance from previous prime (103012211959) and next prime (103012212041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1030122120002 (a number of 23 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 4280176 + ... + 4304175.

It is an arithmetic number, because the mean of its divisors is an integer number (3515292144).

Almost surely, 2103012212000 is an apocalyptic number.

103012212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012212000 is an abundant number, since it is smaller than the sum of its proper divisors (234455833824).

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

103012212000 is an equidigital number, since it uses as much as digits as its factorization.

103012212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584379 (or 8584361 counting only the distinct ones).

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

Adding to 103012212000 its reverse (212210301), we get a palindrome (103224422301).

The spelling of 103012212000 in words is "one hundred three billion, twelve million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 8584351 17168702 25753053 34337404 42921755 51506106 68674808 85843510 103012212 128765265 137349616 171687020 206024424 214608775 257530530 274699232 343374040 412048848 429217550 515061060 643826325 686748080 824097696 858435100 1030122120 1073043875 1287652650 1373496160 1716870200 2060244240 2146087750 2575305300 3219131625 3433740400 4120488480 4292175500 5150610600 6438263250 6867480800 8584351000 10301221200 12876526500 17168702000 20602442400 25753053000 34337404000 51506106000 103012212000