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10003121210000 = 24543313022091
BaseRepresentation
bin1001000110010000100001…
…1111001000001010010000
31022102021210201100011000202
42101210020133020022100
52302342343012210000
633135212003234332
72051462445241022
oct221441037101220
938367721304022
1010003121210000
113207333162316
1211568090789a8
135773a099b649
14268221888012
1512530de7add5
hex919087c8290

10003121210000 has 100 divisors (see below), whose sum is σ = 24291732644784. Its totient is φ = 3989158800000.

The previous prime is 10003121209987. The next prime is 10003121210011. The reversal of 10003121210000 is 1212130001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1798955 + ... + 4821045.

Almost surely, 210003121210000 is an apocalyptic number.

10003121210000 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 10003121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12145866322392).

10003121210000 is an abundant number, since it is smaller than the sum of its proper divisors (14288611434784).

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

10003121210000 is an equidigital number, since it uses as much as digits as its factorization.

10003121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022450 (or 3022429 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10003121210000 its reverse (1212130001), we get a palindrome (10004333340001).

The spelling of 10003121210000 in words is "ten trillion, three billion, one hundred twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 331 400 500 625 662 1000 1250 1324 1655 2000 2500 2648 3310 5000 5296 6620 8275 10000 13240 16550 26480 33100 41375 66200 82750 132400 165500 206875 331000 413750 662000 827500 1655000 3022091 3310000 6044182 12088364 15110455 24176728 30220910 48353456 60441820 75552275 120883640 151104550 241767280 302209100 377761375 604418200 755522750 1000312121 1208836400 1511045500 1888806875 2000624242 3022091000 3777613750 4001248484 5001560605 6044182000 7555227500 8002496968 10003121210 15110455000 16004993936 20006242420 25007803025 30220910000 40012484840 50015606050 80024969680 100031212100 125039015125 200062424200 250078030250 400124848400 500156060500 625195075625 1000312121000 1250390151250 2000624242000 2500780302500 5001560605000 10003121210000