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100012275 = 325211172377
BaseRepresentation
bin1011111011000…
…01000011110011
320222012011001100
411331201003303
5201100343100
613531335443
72323042656
oct575410363
9228164040
10100012275
11514aa780
12295b1583
131794927c
14d3d589d
158ba8400
hex5f610f3

100012275 has 72 divisors (see below), whose sum is σ = 207000144. Its totient is φ = 45619200.

The previous prime is 100012273. The next prime is 100012277. The reversal of 100012275 is 572210001.

It is an interprime number because it is at equal distance from previous prime (100012273) and next prime (100012277).

It is not a de Polignac number, because 100012275 - 21 = 100012273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40887 + ... + 43263.

It is an arithmetic number, because the mean of its divisors is an integer number (2875002).

Almost surely, 2100012275 is an apocalyptic number.

100012275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100012275 is an abundant number, since it is smaller than the sum of its proper divisors (106987869).

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

100012275 is a wasteful number, since it uses less digits than its factorization.

100012275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100012275 is about 10000.6137311667. The cubic root of 100012275 is about 464.1778744186.

Adding to 100012275 its reverse (572210001), we get a palindrome (672222276).

The spelling of 100012275 in words is "one hundred million, twelve thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2377 2475 2805 3825 4675 7131 8415 11885 14025 21393 26147 35655 40409 42075 59425 78441 106965 121227 130735 178275 202045 235323 363681 392205 444499 534825 606135 653675 1010225 1176615 1333497 1818405 1961025 2222495 3030675 4000491 5883075 6667485 9092025 11112475 20002455 33337425 100012275