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10102203111 = 3711133364037
BaseRepresentation
bin10010110100010001…
…10110001011100111
3222002001002002102210
421122020312023213
5131142130444421
64350233134503
7505225211130
oct113210661347
928061062383
1010102203111
1143144807a0
121b5b25a433
13c4cc229a0
146bb968c87
153e1d4a576
hex25a2362e7

10102203111 has 32 divisors (see below), whose sum is σ = 18085068288. Its totient is φ = 4844211840.

The previous prime is 10102203109. The next prime is 10102203149. The reversal of 10102203111 is 11130220101.

10102203111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102203111 - 21 = 10102203109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102203101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679016 + ... + 1685021.

It is an arithmetic number, because the mean of its divisors is an integer number (565158384).

Almost surely, 210102203111 is an apocalyptic number.

10102203111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102203111 is a deficient number, since it is larger than the sum of its proper divisors (7982865177).

10102203111 is a wasteful number, since it uses less digits than its factorization.

10102203111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364071.

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

Adding to 10102203111 its reverse (11130220101), we get a palindrome (21232423212).

The spelling of 10102203111 in words is "ten billion, one hundred two million, two hundred three thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 3364037 10092111 23548259 37004407 43732481 70644777 111013221 131197443 259030849 306127367 481057291 777092547 918382101 1443171873 3367401037 10102203111