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203330100012 = 2231341271117307
BaseRepresentation
bin1011110101011101101…
…0110001101100101100
3201102211102110021220220
42331113122301230230
511312410001200022
6233224125411340
720455465222254
oct2752732615454
9642742407826
10203330100012
11792605a4676
12334a6a09b50
131623520cb60
149bac494964
1554509c085c
hex2f576b1b2c

203330100012 has 96 divisors (see below), whose sum is σ = 525329624064. Its totient is φ = 60811430400.

The previous prime is 203330099983. The next prime is 203330100019. The reversal of 203330100012 is 210001033302.

It is a junction number, because it is equal to n+sod(n) for n = 203330099964 and 203330100000.

It is not an unprimeable number, because it can be changed into a prime (203330100019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674663 + ... + 1791969.

It is an arithmetic number, because the mean of its divisors is an integer number (5472183584).

Almost surely, 2203330100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203330100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262664812032).

203330100012 is an abundant number, since it is smaller than the sum of its proper divisors (321999524052).

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

203330100012 is a wasteful number, since it uses less digits than its factorization.

203330100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117639 (or 117637 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 203330100012 its reverse (210001033302), we get a palindrome (413331133314).

The spelling of 203330100012 in words is "two hundred three billion, three hundred thirty million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 271 492 533 542 813 1066 1084 1599 1626 2132 3198 3252 3523 6396 7046 10569 11111 14092 21138 22222 33333 42276 44444 66666 117307 133332 144443 234614 288886 351921 433329 469228 577772 703842 866658 1407684 1524991 1733316 3049982 4574973 4809587 6099964 9149946 9619174 14428761 18299892 19238348 28857522 31790197 57715044 62524631 63580394 95370591 125049262 127160788 187573893 190741182 250098524 375147786 381482364 413272561 750295572 826545122 1239817683 1303398077 1653090244 2479635366 2606796154 3910194231 4959270732 5213592308 7820388462 15640776924 16944175001 33888350002 50832525003 67776700004 101665050006 203330100012