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203310103120 = 24513138949871
BaseRepresentation
bin1011110101011000111…
…0011111101001010000
3201102210000211100100021
42331112032133221100
511312334341244440
6233222133033224
720455133235265
oct2752616375120
9642700740307
10203310103120
1179250286713
12334a0185814
131623102ac87
149ba996b26c
15544dd7084a
hex2f5639fa50

203310103120 has 80 divisors (see below), whose sum is σ = 477538364160. Its totient is φ = 80494169600.

The previous prime is 203310103099. The next prime is 203310103121. The reversal of 203310103120 is 21301013302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 203310103094 and 203310103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203310103121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051785 + ... + 4101655.

It is an arithmetic number, because the mean of its divisors is an integer number (5969229552).

Almost surely, 2203310103120 is an apocalyptic number.

203310103120 is a gapful number since it is divisible by the number (20) 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 203310103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238769182080).

203310103120 is an abundant number, since it is smaller than the sum of its proper divisors (274228261040).

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

203310103120 is a wasteful number, since it uses less digits than its factorization.

203310103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50404 (or 50398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 203310103120 its reverse (21301013302), we get a palindrome (224611116422).

The spelling of 203310103120 in words is "two hundred three billion, three hundred ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 389 524 655 778 1048 1310 1556 1945 2096 2620 3112 3890 5240 6224 7780 10480 15560 31120 49871 50959 99742 101918 199484 203836 249355 254795 398968 407672 498710 509590 797936 815344 997420 1019180 1994840 2038360 3989680 4076720 6533101 13066202 19399819 26132404 32665505 38799638 52264808 65331010 77599276 96999095 104529616 130662020 155198552 193998190 261324040 310397104 387996380 522648080 775992760 1551985520 2541376289 5082752578 10165505156 12706881445 20331010312 25413762890 40662020624 50827525780 101655051560 203310103120