Search a number
-
+
100020100021212 = 223710111789262143
BaseRepresentation
bin10110101111011110111110…
…100010000011101111011100
3111010010211100202001101211210
4112233132332202003233130
5101102212131101134322
6552420333303544420
730032133214410210
oct2657367642035734
9433124322041753
10100020100021212
1129962316a41658
12b27469515b110
1343a6b16470c17
141a9adda4d2940
15b86b441e670c
hex5af7be883bdc

100020100021212 has 48 divisors (see below), whose sum is σ = 269361061466112. Its totient is φ = 28294229140800.

The previous prime is 100020100021211. The next prime is 100020100021213. The reversal of 100020100021212 is 212120001020001.

It is an interprime number because it is at equal distance from previous prime (100020100021211) and next prime (100020100021213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020100021211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5894622588 + ... + 5894639555.

It is an arithmetic number, because the mean of its divisors is an integer number (5611688780544).

Almost surely, 2100020100021212 is an apocalyptic number.

100020100021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020100021212 is an abundant number, since it is smaller than the sum of its proper divisors (169340961444900).

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

100020100021212 is a wasteful number, since it uses less digits than its factorization.

100020100021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789262258 (or 11789262256 counting only the distinct ones).

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

Adding to 100020100021212 its reverse (212120001020001), we get a palindrome (312140101041213).

The spelling of 100020100021212 in words is "one hundred trillion, twenty billion, one hundred million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 11789262143 23578524286 35367786429 47157048572 70735572858 82524835001 141471145716 165049670002 247574505003 330099340004 495149010006 990298020012 1190715476443 2381430952886 3572146429329 4762861905772 7144292858658 8335008335101 14288585717316 16670016670202 25005025005303 33340033340404 50010050010606 100020100021212