Search a number
-
+
102000022210020 = 223511198133973063
BaseRepresentation
bin10111001100010010111011…
…000101110100010111100100
3111101011002212220221202200010
4113030102323011310113210
5101332132021141210040
61000534055135450220
730325154431342464
oct2714227305642744
9441132786852603
10102000022210020
112a555a6a447750
12b534355086970
1344bb73a18562c
141b28b82603ba4
15bbd3c46d7e80
hex5cc4bb1745e4

102000022210020 has 96 divisors (see below), whose sum is σ = 327961793940480. Its totient is φ = 23425842418560.

The previous prime is 102000022210013. The next prime is 102000022210043. The reversal of 102000022210020 is 20012220000201.

102000022210020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102000022209978 and 102000022210005.

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, 4066973992 + ... + 4066999071.

It is an arithmetic number, because the mean of its divisors is an integer number (3416268686880).

Almost surely, 2102000022210020 is an apocalyptic number.

102000022210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000022210020 is an abundant number, since it is smaller than the sum of its proper divisors (225961771730460).

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

102000022210020 is a wasteful number, since it uses less digits than its factorization.

102000022210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133973105 (or 8133973103 counting only the distinct ones).

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

Adding to 102000022210020 its reverse (20012220000201), we get a palindrome (122012242210221).

The spelling of 102000022210020 in words is "one hundred two trillion, twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 8133973063 16267946126 24401919189 32535892252 40669865315 48803838378 81339730630 89473703693 97607676756 122009595945 154545488197 162679461260 178947407386 244019191890 268421111079 309090976394 357894814772 447368518465 463636464591 488038383780 536842222158 618181952788 772727440985 894737036930 927272929182 1073684444316 1342105555395 1545454881970 1700000370167 1789474073860 1854545858364 2318182322955 2684211110790 3090909763940 3400000740334 4636364645910 5100001110501 5368422221580 6800001480668 8500001850835 9272729291820 10200002221002 17000003701670 20400004442004 25500005552505 34000007403340 51000011105010 102000022210020