Search a number
-
+
30122000101220 = 22519312633971153
BaseRepresentation
bin1101101100101010100110…
…00111011010111101100100
310221122122010222102001001112
412312111103013122331210
512422004324011214340
6144021504504444152
76226146146214416
oct666252307327544
9127578128361045
1030122000101220
119663739861895
123465a18a79658
1313a6652b07a61
14761cac1b69b6
15373820662065
hex1b65531daf64

30122000101220 has 96 divisors (see below), whose sum is σ = 68759567815680. Its totient is φ = 11042231316480.

The previous prime is 30122000101213. The next prime is 30122000101241. The reversal of 30122000101220 is 2210100022103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30122000101195 and 30122000101204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30531164 + ... + 31502316.

It is an arithmetic number, because the mean of its divisors is an integer number (716245498080).

Almost surely, 230122000101220 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 30122000101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34379783907840).

30122000101220 is an abundant number, since it is smaller than the sum of its proper divisors (38637567714460).

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

30122000101220 is a wasteful number, since it uses less digits than its factorization.

30122000101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973845 (or 973843 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 30122000101220 its reverse (2210100022103), we get a palindrome (32332100123323).

The spelling of 30122000101220 in words is "thirty trillion, one hundred twenty-two billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2633 2945 5266 5890 10532 11780 13165 26330 50027 52660 81623 100054 163246 200108 250135 326492 408115 500270 816230 971153 1000540 1550837 1632460 1942306 3101674 3884612 4855765 6203348 7754185 9711530 15508370 18451907 19423060 30105743 31016740 36903814 60211486 73807628 92259535 120422972 150528715 184519070 301057430 369038140 572009117 602114860 1144018234 2288036468 2557045849 2860045585 5114091698 5720091170 10228183396 11440182340 12785229245 25570458490 48583871131 51140916980 79268421319 97167742262 158536842638 194335484524 242919355655 317073685276 396342106595 485838711310 792684213190 971677422620 1506100005061 1585368426380 3012200010122 6024400020244 7530500025305 15061000050610 30122000101220