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10214345100 = 22352131259907
BaseRepresentation
bin10011000001101001…
…01000100110001100
3222100212002111022210
421200310220212030
5131404333020400
64405320510420
7511056333531
oct114064504614
928325074283
1010214345100
114371805723
121b9091b410
13c6a227cab
146cc7dad88
153ebaec950
hex260d2898c

10214345100 has 72 divisors (see below), whose sum is σ = 29779219008. Its totient is φ = 2703022400.

The previous prime is 10214345027. The next prime is 10214345131. The reversal of 10214345100 is 154341201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90654 + ... + 169253.

It is an arithmetic number, because the mean of its divisors is an integer number (413600264).

Almost surely, 210214345100 is an apocalyptic number.

10214345100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214345100 is an abundant number, since it is smaller than the sum of its proper divisors (19564873908).

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

10214345100 is a wasteful number, since it uses less digits than its factorization.

10214345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260055 (or 260048 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10214345100 its reverse (154341201), we get a palindrome (10368686301).

The spelling of 10214345100 in words is "ten billion, two hundred fourteen million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 39300 259907 519814 779721 1039628 1299535 1559442 2599070 3118884 3898605 5198140 6497675 7797210 12995350 15594420 19493025 25990700 34047817 38986050 68095634 77972100 102143451 136191268 170239085 204286902 340478170 408573804 510717255 680956340 851195425 1021434510 1702390850 2042869020 2553586275 3404781700 5107172550 10214345100