Search a number
-
+
100102012102220 = 225181251110169281
BaseRepresentation
bin10110110000101011010000…
…110111110110011001001100
3111010102122210100002020212212
4112300223100313312121030
5101110032410044232340
6552522121324045552
730041063114536052
oct2660532067663114
9433378710066785
10100102012102220
11299940301a5477
12b2885353938b8
1343b176b7793cb
141aa0d6b19c1d2
15b88d3a4aca65
hex5b0ad0df664c

100102012102220 has 48 divisors (see below), whose sum is σ = 212217765885216. Its totient is φ = 39660940800000.

The previous prime is 100102012102109. The next prime is 100102012102237. The reversal of 100102012102220 is 22201210201001.

100102012102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100102012102195 and 100102012102204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54176021 + ... + 55993260.

It is an arithmetic number, because the mean of its divisors is an integer number (4421203455942).

Almost surely, 2100102012102220 is an apocalyptic number.

100102012102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012102220 is an abundant number, since it is smaller than the sum of its proper divisors (112115753782996).

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

100102012102220 is a wasteful number, since it uses less digits than its factorization.

100102012102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110169722 (or 110169720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102012102220 its reverse (22201210201001), we get a palindrome (122303222303221).

The spelling of 100102012102220 in words is "one hundred trillion, one hundred two billion, twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 251 362 502 724 905 1004 1255 1810 2510 3620 5020 45431 90862 181724 227155 454310 908620 110169281 220338562 440677124 550846405 1101692810 2203385620 19940639861 27652489531 39881279722 55304979062 79762559444 99703199305 110609958124 138262447655 199406398610 276524895310 398812797220 553049790620 5005100605111 10010201210222 20020402420444 25025503025555 50051006051110 100102012102220