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401013231132111 = 3131931371014671493
BaseRepresentation
bin101101100101110000010101…
…1001100010001110111001111
31221120212111020120101200201220
41123023200223030101313033
5410030200044132211421
63540514533554334423
7150316151462305503
oct13313405314216717
91846774216350656
10401013231132111
11106858835642a14
1238b8707388a413
131429b501a52940
147105202dc4303
15315641b2503c6
hex16cb82b311dcf

401013231132111 has 128 divisors (see below), whose sum is σ = 648944513064960. Its totient is φ = 217953130752000.

The previous prime is 401013231132091. The next prime is 401013231132161. The reversal of 401013231132111 is 111231132310104.

It is a de Polignac number, because none of the positive numbers 2k-401013231132111 is a prime.

It is a super-2 number, since 2×4010132311321112 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401013231132161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83506881 + ... + 88178373.

It is an arithmetic number, because the mean of its divisors is an integer number (5069879008320).

Almost surely, 2401013231132111 is an apocalyptic number.

401013231132111 is a deficient number, since it is larger than the sum of its proper divisors (247931281932849).

401013231132111 is a wasteful number, since it uses less digits than its factorization.

401013231132111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671697.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 401013231132111 its reverse (111231132310104), we get a palindrome (512244363442215).

The spelling of 401013231132111 in words is "four hundred one trillion, thirteen billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 13 19 31 37 39 57 93 101 111 247 303 403 481 589 703 741 1147 1209 1313 1443 1767 1919 2109 3131 3441 3737 3939 5757 7657 9139 9393 11211 14911 21793 22971 24947 27417 40703 44733 48581 59489 65379 71003 74841 115847 122109 145743 178467 213009 283309 347541 773357 849927 923039 1506011 2201093 2320071 2769117 4518033 4671493 6603279 14014479 28614209 60729409 85842627 88758367 144816283 172845241 182188227 266275101 434448849 471820793 518535723 1153858771 1415462379 1882611679 2246988133 2751509377 3284059579 3461576313 5358202471 5647835037 6133670309 6740964399 8254528131 8964595067 9852178737 14626444583 16074607413 17457369341 18401010927 26893785201 35769621901 42692774527 43879333749 52372108023 69656632123 101805846949 107308865703 116539735871 128078323581 190143779579 208969896369 226945801433 277902447077 305417540847 331690017479 349619207613 541178449571 570431338737 680837404299 833707341231 995070052437 1323476010337 1623535348713 3612731812001 3970428031011 4311970227227 7035319844423 10282390541849 10838195436003 12935910681681 21105959533269 30847171625547 133671077044037 401013231132111