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100202202000021 = 3112653422724539
BaseRepresentation
bin10110110010001000100100…
…101001111110101010010101
3111010210020101202001101221110
4112302020210221332222111
5101113203102203000041
6553040131153205233
730051240655605342
oct2662104451765225
9433706352041843
10100202202000021
1129a22573843600
12b2a3a36860819
1343bb047716bc4
141aa5b535317c9
15b8b751208516
hex5b2224a7ea95

100202202000021 has 24 divisors (see below), whose sum is σ = 147077703753120. Its totient is φ = 60635607730720.

The previous prime is 100202201999897. The next prime is 100202202000137. The reversal of 100202202000021 is 120000202202001.

It is not a de Polignac number, because 100202202000021 - 29 = 100202201999509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202201999970 and 100202202000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202202005021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211125231 + ... + 211599308.

It is an arithmetic number, because the mean of its divisors is an integer number (6128237656380).

Almost surely, 2100202202000021 is an apocalyptic number.

100202202000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202202000021 is a deficient number, since it is larger than the sum of its proper divisors (46875501753099).

100202202000021 is a wasteful number, since it uses less digits than its factorization.

100202202000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422725217 (or 422725206 counting only the distinct ones).

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

Adding to 100202202000021 its reverse (120000202202001), we get a palindrome (220202404202022).

The spelling of 100202202000021 in words is "one hundred trillion, two hundred two billion, two hundred two million, twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 121 363 653 1959 7183 21549 79013 237039 422724539 1268173617 4649969929 13949909787 51149669219 153449007657 276039123967 828117371901 3036430363637 9109291090911 33400734000007 100202202000021