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30221023121300 = 225211732267166013
BaseRepresentation
bin1101101111100011000010…
…10110010000111110010100
310222000002202001200122210202
412313301201112100332110
512430120123404340200
6144135202451440032
76236253061050104
oct667614126207624
9128002661618722
1030221023121300
1196a1733767470
1234810535b6018
1313b2aa40aa26b
147669c359d204
153761b8c161d5
hex1b7c61590f94

30221023121300 has 144 divisors (see below), whose sum is σ = 72553850131392. Its totient is φ = 10834075929600.

The previous prime is 30221023121279. The next prime is 30221023121357. The reversal of 30221023121300 is 312132012203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181957094 + ... + 182123106.

It is an arithmetic number, because the mean of its divisors is an integer number (503846181468).

Almost surely, 230221023121300 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 30221023121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36276925065696).

30221023121300 is an abundant number, since it is smaller than the sum of its proper divisors (42332827010092).

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

30221023121300 is a wasteful number, since it uses less digits than its factorization.

30221023121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168378 (or 168371 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30221023121300 its reverse (312132012203), we get a palindrome (30533155133503).

The spelling of 30221023121300 in words is "thirty trillion, two hundred twenty-one billion, twenty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 2267 3212 3650 4015 4534 7300 8030 9068 11335 16060 20075 22670 24937 40150 45340 49874 56675 80300 99748 113350 124685 165491 166013 226700 249370 330982 332026 498740 623425 661964 664052 827455 830065 1246850 1654910 1660130 1820401 1826143 2493700 3309820 3320260 3640802 3652286 4137275 4150325 7281604 7304572 8274550 8300650 9102005 9130715 12118949 16549100 16601300 18204010 18261430 24237898 36408020 36522860 45510025 45653575 48475796 60594745 91020050 91307150 121189490 133308439 182040100 182614300 242378980 266616878 302973725 376351471 533233756 605947450 666542195 752702942 1211894900 1333084390 1505405884 1881757355 2666168780 3332710975 3763514710 4139866181 6665421950 7527029420 8279732362 9408786775 13330843900 16559464724 18817573550 20699330905 27473657383 37635147100 41398661810 54947314766 82797323620 103496654525 109894629532 137368286915 206993309050 274736573830 302210231213 413986618100 549473147660 604420462426 686841434575 1208840924852 1373682869150 1511051156065 2747365738300 3022102312130 6044204624260 7555255780325 15110511560650 30221023121300