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30122023200 = 2535216677529
BaseRepresentation
bin11100000011011010…
…011001100100100000
32212202020220022201220
4130003122121210200
5443142214220300
621500551255040
72114310654423
oct340332314440
985666808656
1030122023200
1111858107955
125a0797a480
132ac0749b89
14165a72d9ba
15bb46cdda0
hex703699920

30122023200 has 144 divisors (see below), whose sum is σ = 98119032480. Its totient is φ = 8026654720.

The previous prime is 30122023171. The next prime is 30122023219. The reversal of 30122023200 is 232022103.

It is a super-2 number, since 2×301220232002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30122023200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3997036 + ... + 4004564.

It is an arithmetic number, because the mean of its divisors is an integer number (681382170).

Almost surely, 230122023200 is an apocalyptic number.

30122023200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30122023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49059516240).

30122023200 is an abundant number, since it is smaller than the sum of its proper divisors (67997009280).

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

30122023200 is a wasteful number, since it uses less digits than its factorization.

30122023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30122023200 its reverse (232022103), we get a palindrome (30354045303).

The spelling of 30122023200 in words is "thirty billion, one hundred twenty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1667 2400 3334 5001 6668 7529 8335 10002 13336 15058 16670 20004 22587 25005 26672 30116 33340 37645 40008 41675 45174 50010 53344 60232 66680 75290 80016 83350 90348 100020 112935 120464 125025 133360 150580 160032 166700 180696 188225 200040 225870 240928 250050 266720 301160 333400 361392 376450 400080 451740 500100 564675 602320 666800 722784 752900 800160 903480 1000200 1129350 1204640 1333600 1505800 1806960 2000400 2258700 3011600 3613920 4000800 4517400 6023200 9034800 12550843 18069600 25101686 37652529 50203372 62754215 75305058 100406744 125508430 150610116 188262645 200813488 251016860 301220232 313771075 376525290 401626976 502033720 602440464 627542150 753050580 941313225 1004067440 1204880928 1255084300 1506101160 1882626450 2008134880 2510168600 3012202320 3765252900 5020337200 6024404640 7530505800 10040674400 15061011600 30122023200