Search a number
-
+
100212010012020 = 223511827031412189
BaseRepresentation
bin10110110010010001101101…
…010000100100110101110100
3111010211011201021120001001010
4112302101231100210311310
5101113333144030341040
6553044432321032220
730052036012412454
oct2662215520446564
9433734637501033
10100212010012020
1129a26747148145
12b2a5913485670
1343bbc4b6c3aba
141aa6403d99d64
15b8bb272e0e80
hex5b246d424d74

100212010012020 has 48 divisors (see below), whose sum is σ = 280594063975680. Its totient is φ = 26723161151616.

The previous prime is 100212010012013. The next prime is 100212010012039. The reversal of 100212010012020 is 20210010212001.

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 = 100212010011987 and 100212010012005.

It is a congruent number.

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, 70256086 + ... + 71668274.

It is an arithmetic number, because the mean of its divisors is an integer number (5845709666160).

Almost surely, 2100212010012020 is an apocalyptic number.

100212010012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212010012020 is an abundant number, since it is smaller than the sum of its proper divisors (180382053963660).

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

100212010012020 is a wasteful number, since it uses less digits than its factorization.

100212010012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594904 (or 2594902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212010012020 its reverse (20210010212001), we get a palindrome (120422020224021).

The spelling of 100212010012020 in words is "one hundred trillion, two hundred twelve billion, ten million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1182703 1412189 2365406 2824378 3548109 4236567 4730812 5648756 5913515 7060945 7096218 8473134 11827030 14121890 14192436 16946268 17740545 21182835 23654060 28243780 35481090 42365670 70962180 84731340 1670200166867 3340400333734 5010600500601 6680800667468 8351000834335 10021201001202 16702001668670 20042402002404 25053002503005 33404003337340 50106005006010 100212010012020