Search a number
-
+
120022020010020 = 223519643163736351
BaseRepresentation
bin11011010010100011001101…
…110111100011000000100100
3120201221222210221022110000010
4123102203031313203000210
5111212420044110310040
61103133204350050220
734165206354163122
oct3322431567430044
9521858727273003
10120022020010020
11352740643676a7
12115650a37a9970
1351c80494667bb
14218d14d73c912
15dd20ac8d7e80
hex6d28cdde3024

120022020010020 has 96 divisors (see below), whose sum is σ = 354299267911680. Its totient is φ = 30274196169600.

The previous prime is 120022020009977. The next prime is 120022020010021. The reversal of 120022020010020 is 20010020220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120022020009978 and 120022020010005.

It is not an unprimeable number, because it can be changed into a prime (120022020010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81135156 + ... + 82601195.

It is an arithmetic number, because the mean of its divisors is an integer number (3690617374080).

Almost surely, 2120022020010020 is an apocalyptic number.

120022020010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022020010020 is an abundant number, since it is smaller than the sum of its proper divisors (234277247901660).

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

120022020010020 is a wasteful number, since it uses less digits than its factorization.

120022020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163737025 (or 163737023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120022020010020 its reverse (20010020220021), we get a palindrome (140032040230041).

The spelling of 120022020010020 in words is "one hundred twenty trillion, twenty-two billion, twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 643 1140 1286 1929 2572 3215 3858 6430 7716 9645 12217 12860 19290 24434 36651 38580 48868 61085 73302 122170 146604 183255 244340 366510 733020 163736351 327472702 491209053 654945404 818681755 982418106 1637363510 1964836212 2456045265 3110990669 3274727020 4912090530 6221981338 9332972007 9824181060 12443962676 15554953345 18665944014 31109906690 37331888028 46664860035 62219813380 93329720070 105282473693 186659440140 210564947386 315847421079 421129894772 526412368465 631694842158 1052824736930 1263389684316 1579237105395 2000367000167 2105649473860 3158474210790 4000734000334 6001101000501 6316948421580 8001468000668 10001835000835 12002202001002 20003670001670 24004404002004 30005505002505 40007340003340 60011010005010 120022020010020