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1210000210100 = 22521110118715821
BaseRepresentation
bin10001100110111001101…
…000011111100010110100
311021200012222212102022022
4101212321220133202310
5124311040023210400
62323511051452312
7153263635041353
oct21467150374264
94250188772268
101210000210100
11427181634a40
1217660a757098
138a1443499a6
14427c870399a
152171cadab85
hex119b9a1f8b4

1210000210100 has 144 divisors (see below), whose sum is σ = 2894804220672. Its totient is φ = 435336000000.

The previous prime is 1210000210091. The next prime is 1210000210109. The reversal of 1210000210100 is 10120000121.

It is an interprime number because it is at equal distance from previous prime (1210000210091) and next prime (1210000210109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210000210109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207865190 + ... + 207871010.

It is an arithmetic number, because the mean of its divisors is an integer number (20102807088).

Almost surely, 21210000210100 is an apocalyptic number.

1210000210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210000210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447402110336).

1210000210100 is an abundant number, since it is smaller than the sum of its proper divisors (1684804010572).

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

1210000210100 is a wasteful number, since it uses less digits than its factorization.

1210000210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1210000210100 its reverse (10120000121), we get a palindrome (1220120210221).

The spelling of 1210000210100 in words is "one trillion, two hundred ten billion, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 1871 2020 2222 2525 3742 4444 5050 5555 5821 7484 9355 10100 11110 11642 18710 20581 22220 23284 27775 29105 37420 41162 46775 55550 58210 64031 82324 93550 102905 111100 116420 128062 145525 187100 188971 205810 256124 291050 320155 377942 411620 514525 582100 587921 640310 755884 944855 1029050 1175842 1280620 1600775 1889710 2058100 2078681 2351684 2939605 3201550 3779420 4157362 4724275 5879210 6403100 6467131 8314724 9448550 10393405 10891091 11758420 12934262 14698025 18897100 20786810 21782182 25868524 29396050 32335655 41573620 43564364 51967025 54455455 58792100 64671310 103934050 108910910 119802001 129342620 161678275 207868100 217821820 239604002 272277275 323356550 479208004 544554550 599010005 646713100 1089109100 1100000191 1198020010 2200000382 2396040020 2995050025 4400000764 5500000955 5990100050 11000001910 11980200100 12100002101 22000003820 24200004202 27500004775 48400008404 55000009550 60500010505 110000019100 121000021010 242000042020 302500052525 605000105050 1210000210100