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100021285 = 57131767193
BaseRepresentation
bin1011111011000…
…11010000100101
320222012121102001
411331203100211
5201101140120
613531445301
72323111150
oct575432045
9228177361
10100021285
1151506521
12295b6831
13179503c0
14d3d8c97
158baae0a
hex5f63425

100021285 has 64 divisors (see below), whose sum is σ = 159570432. Its totient is φ = 58392576.

The previous prime is 100021279. The next prime is 100021289. The reversal of 100021285 is 582120001.

It is a 8-Lehmer number, since φ(100021285) divides (100021285-1)8.

It is a cyclic number.

It is not a de Polignac number, because 100021285 - 23 = 100021277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518149 + ... + 518341.

It is an arithmetic number, because the mean of its divisors is an integer number (2493288).

Almost surely, 2100021285 is an apocalyptic number.

It is an amenable number.

100021285 is a deficient number, since it is larger than the sum of its proper divisors (59549147).

100021285 is a wasteful number, since it uses less digits than its factorization.

100021285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 100021285 is about 10001.0641933746. The cubic root of 100021285 is about 464.1918130978.

Adding to 100021285 its reverse (582120001), we get a palindrome (682141286).

The spelling of 100021285 in words is "one hundred million, twenty-one thousand, two hundred eighty-five".

Divisors: 1 5 7 13 17 35 65 67 85 91 119 193 221 335 455 469 595 871 965 1105 1139 1351 1547 2345 2509 3281 4355 5695 6097 6755 7735 7973 12545 12931 14807 16405 17563 22967 30485 39865 42653 64655 74035 87815 90517 103649 114835 168103 213265 219827 298571 452585 518245 840515 1099135 1176721 1492855 1538789 2857751 5883605 7693945 14288755 20004257 100021285