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30133950803200 = 28526736996181
BaseRepresentation
bin1101101101000000110110…
…11011101110110100000000
310221200202222211202121020101
412312200123123232310000
512422203312401200300
6144031202413452144
76230051251416226
oct666403333566400
9127622884677211
1030133950803200
1196688117020a2
1234681b31a1054
1313a780899b84a
147626c3440b16
15373cbe8e5b6a
hex1b681b6eed00

30133950803200 has 108 divisors (see below), whose sum is σ = 74697073847788. Its totient is φ = 12035668377600.

The previous prime is 30133950803107. The next prime is 30133950803213. The reversal of 30133950803200 is 230805933103.

It can be written as a sum of positive squares in 6 ways, for example, as 4147446294784 + 25986504508416 = 2036528^2 + 5097696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30133950803200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 809110 + ... + 7805290.

Almost surely, 230133950803200 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 30133950803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37348536923894).

30133950803200 is an abundant number, since it is smaller than the sum of its proper divisors (44563123044588).

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

30133950803200 is an equidigital number, since it uses as much as digits as its factorization.

30133950803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996880 (or 6996861 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 30133950803200 in words is "thirty trillion, one hundred thirty-three billion, nine hundred fifty million, eight hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 673 800 1280 1346 1600 2692 3200 3365 5384 6400 6730 10768 13460 16825 21536 26920 33650 43072 53840 67300 86144 107680 134600 172288 215360 269200 430720 538400 861440 1076800 2153600 4307200 6996181 13992362 27984724 34980905 55969448 69961810 111938896 139923620 174904525 223877792 279847240 349809050 447755584 559694480 699618100 895511168 1119388960 1399236200 1791022336 2238777920 2798472400 4477555840 4708429813 5596944800 8955111680 9416859626 11193889600 18833719252 22387779200 23542149065 37667438504 44775558400 47084298130 75334877008 94168596260 117710745325 150669754016 188337192520 235421490650 301339508032 376674385040 470842981300 602679016064 753348770080 941685962600 1205358032128 1506697540160 1883371925200 3013395080320 3766743850400 6026790160640 7533487700800 15066975401600 30133950803200