Search a number
-
+
100944207 = 32713219499
BaseRepresentation
bin1100000010001…
…00100101001111
321000221111102100
412001010211033
5201320203312
614003330143
72334003660
oct601044517
9230844370
10100944207
1151a86971
1229980953
1317bb4500
14d599367
158cde5dc
hex604494f

100944207 has 72 divisors (see below), whose sum is σ = 190320000. Its totient is φ = 50341824.

The previous prime is 100944197. The next prime is 100944209. The reversal of 100944207 is 702449001.

It is a happy number.

It is not a de Polignac number, because 100944207 - 24 = 100944191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100944209) 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 71 ways as a sum of consecutive naturals, for example, 202044 + ... + 202542.

Almost surely, 2100944207 is an apocalyptic number.

100944207 is a deficient number, since it is larger than the sum of its proper divisors (89375793).

100944207 is a wasteful number, since it uses less digits than its factorization.

100944207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100944207 is about 10047.0994321744. The cubic root of 100944207 is about 465.6151829950.

The spelling of 100944207 in words is "one hundred million, nine hundred forty-four thousand, two hundred seven".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 169 171 247 273 399 499 507 741 819 1183 1197 1497 1521 1729 2223 3211 3493 3549 4491 5187 6487 9481 9633 10479 10647 15561 19461 22477 28443 28899 31437 45409 58383 66367 67431 84331 85329 123253 136227 199101 202293 252993 369759 408681 590317 597303 758979 862771 1109277 1602289 1770951 2588313 4806867 5312853 7764939 11216023 14420601 33648069 100944207