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30121311200 = 2552311916359
BaseRepresentation
bin11100000011010111…
…101011101111100000
32212202012120011001112
4130003113223233200
5443142023424300
621500524122452
72114301630551
oct340327535740
985665504045
1030121311200
1111857770a22
125a07696428
132ac055aa86
14165a5c6328
15bb45dce35
hex7035ebbe0

30121311200 has 144 divisors (see below), whose sum is σ = 76315115520. Its totient is φ = 11596992000.

The previous prime is 30121311139. The next prime is 30121311217. The reversal of 30121311200 is 211312103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4733621 + ... + 4739979.

It is an arithmetic number, because the mean of its divisors is an integer number (529966080).

Almost surely, 230121311200 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 30121311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38157557760).

30121311200 is an abundant number, since it is smaller than the sum of its proper divisors (46193804320).

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

30121311200 is a wasteful number, since it uses less digits than its factorization.

30121311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 30121311200 its reverse (211312103), we get a palindrome (30332623303).

The spelling of 30121311200 in words is "thirty billion, one hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 191 200 248 310 382 400 496 620 764 775 800 955 992 1240 1528 1550 1910 2480 3056 3100 3820 4775 4960 5921 6112 6200 6359 7640 9550 11842 12400 12718 15280 19100 23684 24800 25436 29605 30560 31795 38200 47368 50872 59210 63590 76400 94736 101744 118420 127180 148025 152800 158975 189472 197129 203488 236840 254360 296050 317950 394258 473680 508720 592100 635900 788516 947360 985645 1017440 1184200 1214569 1271800 1577032 1971290 2368400 2429138 2543600 3154064 3942580 4736800 4858276 4928225 5087200 6072845 6308128 7885160 9716552 9856450 12145690 15770320 19433104 19712900 24291380 30364225 31540640 37651639 38866208 39425800 48582760 60728450 75303278 78851600 97165520 121456900 150606556 157703200 188258195 194331040 242913800 301213112 376516390 485827600 602426224 753032780 941290975 971655200 1204852448 1506065560 1882581950 3012131120 3765163900 6024262240 7530327800 15060655600 30121311200