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138753303 = 313173143157
BaseRepresentation
bin10000100010100…
…11010100010111
3100200002101202020
420101103110113
5241010101203
621433544223
73303245403
oct1021232427
9320071666
10138753303
1171360457
123a575073
1322991a60
14145dc103
15c2ac153
hex8453517

138753303 has 64 divisors (see below), whose sum is σ = 224243712. Its totient is φ = 75479040.

The previous prime is 138753281. The next prime is 138753343. The reversal of 138753303 is 303357831.

It is not a de Polignac number, because 138753303 - 26 = 138753239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138753343) 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, 883701 + ... + 883857.

It is an arithmetic number, because the mean of its divisors is an integer number (3503808).

Almost surely, 2138753303 is an apocalyptic number.

138753303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

138753303 is a deficient number, since it is larger than the sum of its proper divisors (85490409).

138753303 is a wasteful number, since it uses less digits than its factorization.

138753303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 138753303 is about 11779.3591930971. The cubic root of 138753303 is about 517.7035107063.

The spelling of 138753303 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, three hundred three".

Divisors: 1 3 13 17 31 39 43 51 93 129 157 221 403 471 527 559 663 731 1209 1333 1581 1677 2041 2193 2669 3999 4867 6123 6751 6851 8007 9503 14601 17329 20253 20553 22661 28509 34697 51987 63271 67983 82739 87763 104091 114767 189813 209281 248217 263289 294593 344301 627843 883779 1075607 1491971 2720653 3226821 3557777 4475913 8161959 10673331 46251101 138753303