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100212212020020 = 22355320273139321
BaseRepresentation
bin10110110010010001111001…
…010011001011001100110100
3111010211012020100200002220220
4112302101321103023030310
5101113334102234120040
6553044504334454340
730052044014432202
oct2662217123131464
9433735210602826
10100212212020020
1129a26840181801
12b2a596b0643b0
1343bbc81502069
141aa6422b42072
15b8bb39de52d0
hex5b24794cb334

100212212020020 has 48 divisors (see below), whose sum is σ = 280594810442688. Its totient is φ = 26723197797120.

The previous prime is 100212212020007. The next prime is 100212212020021. The reversal of 100212212020020 is 20020212212001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212212020021) 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 15 ways as a sum of consecutive naturals, for example, 30351960 + ... + 33491280.

It is an arithmetic number, because the mean of its divisors is an integer number (5845725217556).

Almost surely, 2100212212020020 is an apocalyptic number.

100212212020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212212020020 is an abundant number, since it is smaller than the sum of its proper divisors (180382598422668).

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

100212212020020 is a wasteful number, since it uses less digits than its factorization.

100212212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671360 (or 3671358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100212212020020 its reverse (20020212212001), we get a palindrome (120232424232021).

The spelling of 100212212020020 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 532027 1064054 1596081 2128108 2660135 3139321 3192162 5320270 6278642 6384324 7980405 9417963 10640540 12557284 15696605 15960810 18835926 31393210 31921620 37671852 47089815 62786420 94179630 188359260 1670203533667 3340407067334 5010610601001 6680814134668 8351017668335 10021221202002 16702035336670 20042442404004 25053053005005 33404070673340 50106106010010 100212212020020