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212300200130100 = 223521375165454991
BaseRepresentation
bin110000010001010111111110…
…000000111011011000110100
31000211200200220222012211222220
4300101113332000323120310
5210311311302213130400
62031305210542122340
762501116604331315
oct6021277600733064
91024620828184886
10212300200130100
1161711011356125
121b98924b5803b0
13915ca910ab934
143a5d55515c60c
1519826370017a0
hexc115fe03b634

212300200130100 has 72 divisors (see below), whose sum is σ = 618738860761728. Its totient is φ = 56200150291200.

The previous prime is 212300200130093. The next prime is 212300200130107. The reversal of 212300200130100 is 1031002003212.

It is an interprime number because it is at equal distance from previous prime (212300200130093) and next prime (212300200130107).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212300200130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300200130107) 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, 2582686396 + ... + 2582768595.

Almost surely, 2212300200130100 is an apocalyptic number.

212300200130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300200130100 is an abundant number, since it is smaller than the sum of its proper divisors (406438660631628).

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

212300200130100 is a wasteful number, since it uses less digits than its factorization.

212300200130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165455145 (or 5165455138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212300200130100 its reverse (1031002003212), we get a palindrome (213331202133312).

The spelling of 212300200130100 in words is "two hundred twelve trillion, three hundred billion, two hundred million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10275 13700 20550 41100 5165454991 10330909982 15496364973 20661819964 25827274955 30992729946 51654549910 61985459892 77481824865 103309099820 129136374775 154963649730 258272749550 309927299460 387409124325 516545499100 707667333767 774818248650 1415334667534 1549636497300 2123002001301 2830669335068 3538336668835 4246004002602 7076673337670 8492008005204 10615010006505 14153346675340 17691683344175 21230020013010 35383366688350 42460040026020 53075050032525 70766733376700 106150100065050 212300200130100