Search a number
-
+
120001133103120 = 24325254716543451
BaseRepresentation
bin11011010010001111110000…
…111010010100100000010000
3120201212222220021220122012200
4123102033300322110200100
5111212044310033244440
61103115432015123200
734163536642331613
oct3322176072244020
9521788807818180
10120001133103120
1135266216239375
1211561034813500
1351c609b0caba9
14218c12b74817a
15dd1788d79c30
hex6d23f0e94810

120001133103120 has 120 divisors (see below), whose sum is σ = 403019688993792. Its totient is φ = 31999040928000.

The previous prime is 120001133103113. The next prime is 120001133103143. The reversal of 120001133103120 is 21301331100021.

120001133103120 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 1 + 1 + 331 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120001133103093 and 120001133103102.

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, 15067395 + ... + 21610845.

Almost surely, 2120001133103120 is an apocalyptic number.

120001133103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001133103120 is an abundant number, since it is smaller than the sum of its proper divisors (283018555890672).

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

120001133103120 is a wasteful number, since it uses less digits than its factorization.

120001133103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6568941 (or 6568932 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120001133103120 its reverse (21301331100021), we get a palindrome (141302464203141).

The spelling of 120001133103120 in words is "one hundred twenty trillion, one billion, one hundred thirty-three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 25471 50942 76413 101884 127355 152826 203768 229239 254710 305652 382065 407536 458478 509420 611304 764130 916956 1018840 1146195 1222608 1528260 1833912 2037680 2292390 3056520 3667824 4584780 6113040 6543451 9169560 13086902 18339120 19630353 26173804 32717255 39260706 52347608 58891059 65434510 78521412 98151765 104695216 117782118 130869020 157042824 196303530 235564236 261738040 294455295 314085648 392607060 471128472 523476080 588910590 785214120 942256944 1177821180 1570428240 2355642360 4711284720 166668240421 333336480842 500004721263 666672961684 833341202105 1000009442526 1333345923368 1500014163789 1666682404210 2000018885052 2500023606315 2666691846736 3000028327578 3333364808420 4000037770104 5000047212630 6000056655156 6666729616840 7500070818945 8000075540208 10000094425260 12000113310312 13333459233680 15000141637890 20000188850520 24000226620624 30000283275780 40000377701040 60000566551560 120001133103120