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103123210000 = 245411638867
BaseRepresentation
bin110000000001010011…
…1110100111100010000
3100212011211111211221011
41200002213310330100
53142144020210000
6115212452140304
710310326552006
oct1400247647420
9325154454834
10103123210000
113a8093aaa98
1217b9b907694
1399558a2cb5
144dc3b7aa76
152a3851a2ba
hex18029f4f10

103123210000 has 100 divisors (see below), whose sum is σ = 249914464272. Its totient is φ = 41209168000.

The previous prime is 103123209989. The next prime is 103123210007. The reversal of 103123210000 is 12321301.

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

It is not an unprimeable number, because it can be changed into a prime (103123210007) 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, 11625567 + ... + 11634433.

Almost surely, 2103123210000 is an apocalyptic number.

103123210000 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 103123210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124957232136).

103123210000 is an abundant number, since it is smaller than the sum of its proper divisors (146791254272).

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

103123210000 is an equidigital number, since it uses as much as digits as its factorization.

103123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103123210000 its reverse (12321301), we get a palindrome (103135531301).

The spelling of 103123210000 in words is "one hundred three billion, one hundred twenty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1163 1250 2000 2326 2500 4652 5000 5815 8867 9304 10000 11630 17734 18608 23260 29075 35468 44335 46520 58150 70936 88670 93040 116300 141872 145375 177340 221675 232600 290750 354680 443350 465200 581500 709360 726875 886700 1108375 1163000 1453750 1773400 2216750 2326000 2907500 3546800 4433500 5541875 5815000 8867000 10312321 11083750 11630000 17734000 20624642 22167500 41249284 44335000 51561605 82498568 88670000 103123210 164997136 206246420 257808025 412492840 515616050 824985680 1031232100 1289040125 2062464200 2578080250 4124928400 5156160500 6445200625 10312321000 12890401250 20624642000 25780802500 51561605000 103123210000