Search a number
-
+
30121133200 = 24521913928513
BaseRepresentation
bin11100000011010111…
…000000010010010000
32212202012020002212221
4130003113000102100
5443142002230300
621500520230424
72114300256604
oct340327002220
985665202787
1030121133200
111185765a214
125a0760b414
132ac04c7a52
14165a57b504
15bb45a531a
hex7035c0490

30121133200 has 120 divisors (see below), whose sum is σ = 76725471200. Its totient is φ = 11331809280.

The previous prime is 30121133183. The next prime is 30121133227. The reversal of 30121133200 is 233112103.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1042144 + ... + 1070656.

Almost surely, 230121133200 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 30121133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362735600).

30121133200 is an abundant number, since it is smaller than the sum of its proper divisors (46604338000).

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

30121133200 is a wasteful number, since it uses less digits than its factorization.

30121133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28689 (or 28678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30121133200 its reverse (233112103), we get a palindrome (30354245303).

The spelling of 30121133200 in words is "thirty billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 139 152 190 200 278 304 380 400 475 556 695 760 950 1112 1390 1520 1900 2224 2641 2780 3475 3800 5282 5560 6950 7600 10564 11120 13205 13900 21128 26410 27800 28513 42256 52820 55600 57026 66025 105640 114052 132050 142565 211280 228104 264100 285130 456208 528200 541747 570260 712825 1056400 1083494 1140520 1425650 2166988 2281040 2708735 2851300 3963307 4333976 5417470 5702600 7926614 8667952 10834940 11405200 13543675 15853228 19816535 21669880 27087350 31706456 39633070 43339760 54174700 63412912 75302833 79266140 99082675 108349400 150605666 158532280 198165350 216698800 301211332 317064560 376514165 396330700 602422664 753028330 792661400 1204845328 1506056660 1585322800 1882570825 3012113320 3765141650 6024226640 7530283300 15060566600 30121133200