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201041379 = 33711259149
BaseRepresentation
bin10111111101110…
…10010111100011
3112000021221221000
423332322113203
5402431311004
631541003043
74660552320
oct1376722743
9460257830
10201041379
11a3534400
12573b3483
13328602c6
141c9b3b47
15129b2c39
hexbfba5e3

201041379 has 96 divisors (see below), whose sum is σ = 383040000. Its totient is φ = 101977920.

The previous prime is 201041353. The next prime is 201041389. The reversal of 201041379 is 973140102.

It is a de Polignac number, because none of the positive numbers 2k-201041379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201041329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1349197 + ... + 1349345.

It is an arithmetic number, because the mean of its divisors is an integer number (3990000).

Almost surely, 2201041379 is an apocalyptic number.

201041379 is a deficient number, since it is larger than the sum of its proper divisors (181998621).

201041379 is a wasteful number, since it uses less digits than its factorization.

201041379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 201041379 is about 14178.9061284713. The cubic root of 201041379 is about 585.8167946047.

The spelling of 201041379 in words is "two hundred one million, forty-one thousand, three hundred seventy-nine".

Divisors: 1 3 7 9 11 21 27 33 59 63 77 99 121 149 177 189 231 297 363 413 447 531 649 693 847 1043 1089 1239 1341 1593 1639 1947 2079 2541 3129 3267 3717 4023 4543 4917 5841 7139 7623 8791 9387 11151 11473 13629 14751 17523 18029 21417 22869 26373 28161 34419 40887 44253 49973 54087 61537 64251 79119 96701 103257 122661 126203 149919 162261 184611 192753 237357 290103 309771 378609 449757 486783 553833 676907 870309 1063711 1135827 1349271 1661499 2030721 2610927 3191133 3407481 6092163 7445977 9573399 18276489 22337931 28720197 67013793 201041379