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200201110323030 = 23351576382373999
BaseRepresentation
bin101101100001010011110100…
…000100000111111101010110
3222020212001001121011222221000
4231201103310010013331112
5202220043333220314110
61545443042001404130
760112024101001065
oct5541236404077526
9866761047158830
10200201110323030
11588768a55aa693
121a554396939646
138792b6463461b
143761add3701dc
151822a54c381c0
hexb614f4107f56

200201110323030 has 128 divisors (see below), whose sum is σ = 537285749760000. Its totient is φ = 53045370398592.

The previous prime is 200201110322987. The next prime is 200201110323191. The reversal of 200201110323030 is 30323011102002.

200201110323030 is a `hidden beast` number, since 2 + 0 + 0 + 201 + 110 + 323 + 0 + 30 = 666.

200201110323030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200201110322994 and 200201110323012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2705419971 + ... + 2705493969.

It is an arithmetic number, because the mean of its divisors is an integer number (4197544920000).

Almost surely, 2200201110323030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201110323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268642874880000).

200201110323030 is an abundant number, since it is smaller than the sum of its proper divisors (337084639436970).

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

200201110323030 is a wasteful number, since it uses less digits than its factorization.

200201110323030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137995 (or 137989 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200201110323030 its reverse (30323011102002), we get a palindrome (230524121425032).

The spelling of 200201110323030 in words is "two hundred trillion, two hundred one billion, one hundred ten million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 2355 2826 4239 4710 7065 8478 14130 21195 42390 63823 73999 127646 147998 191469 221997 319115 369995 382938 443994 574407 638230 665991 739990 957345 1109985 1148814 1331982 1723221 1914690 1997973 2219970 2872035 3329955 3446442 3995946 5744070 6659910 8616105 9989865 10020211 11617843 17232210 19979730 20040422 23235686 30060633 34853529 50101055 58089215 60121266 69707058 90181899 100202110 104560587 116178430 150303165 174267645 180363798 209121174 270545697 300606330 313681761 348535290 450909495 522802935 541091394 627363522 901818990 1045605870 1352728485 1568408805 2705456970 3136817610 4722838177 9445676354 14168514531 23614190885 28337029062 42505543593 47228381770 70842572655 85011087186 127516630779 141685145310 212527717965 255033261558 425055435930 637583153895 741485593789 1275166307790 1482971187578 2224456781367 3707427968945 4448913562734 6673370344101 7414855937890 11122283906835 13346740688202 20020111032303 22244567813670 33366851720505 40040222064606 66733703441010 100100555161515 200201110323030