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10202121110 = 2517918131489
BaseRepresentation
bin10011000000001100…
…00000001110010110
3222100000002110011102
421200012000032112
5131343220333420
64404202510102
7510550412216
oct114006001626
928300073142
1010202121110
114365916655
121b88805332
13c6783806c
146cad38246
153ea9d5a75
hex260180396

10202121110 has 32 divisors (see below), whose sum is σ = 18569023200. Its totient is φ = 4035502080.

The previous prime is 10202121053. The next prime is 10202121119. The reversal of 10202121110 is 1112120201.

It is a super-3 number, since 3×102021211103 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202121091 and 10202121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308246 + ... + 339734.

It is an arithmetic number, because the mean of its divisors is an integer number (580281975).

Almost surely, 210202121110 is an apocalyptic number.

10202121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202121110 is a deficient number, since it is larger than the sum of its proper divisors (8366902090).

10202121110 is a wasteful number, since it uses less digits than its factorization.

10202121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10202121110 its reverse (1112120201), we get a palindrome (11314241311).

Subtracting from 10202121110 its reverse (1112120201), we obtain a palindrome (9090000909).

The spelling of 10202121110 in words is "ten billion, two hundred two million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 179 181 358 362 895 905 1790 1810 31489 32399 62978 64798 157445 161995 314890 323990 5636531 5699509 11273062 11399018 28182655 28497545 56365310 56995090 1020212111 2040424222 5101060555 10202121110