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31274977947213 = 371113371631726841
BaseRepresentation
bin1110001110001110001011…
…11100110110111001001101
311002201212011222122020011110
413013013011330312321031
513044402123323302323
6150303305421242233
76405354052210440
oct707070574667115
9132655158566143
1031274977947213
119a68709794680
123611372a03379
13145b2aa57b5a0
147a1a0768b657
15393802122793
hex1c71c5f36e4d

31274977947213 has 128 divisors (see below), whose sum is σ = 57854788153344. Its totient is φ = 14502140467200.

The previous prime is 31274977947149. The next prime is 31274977947221.

31274977947213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31274977947213 - 26 = 31274977947149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31274977947113) 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, 17247673 + ... + 18974513.

It is an arithmetic number, because the mean of its divisors is an integer number (451990532448).

Almost surely, 231274977947213 is an apocalyptic number.

31274977947213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31274977947213 is a deficient number, since it is larger than the sum of its proper divisors (26579810206131).

31274977947213 is a wasteful number, since it uses less digits than its factorization.

31274977947213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727075.

The product of its digits is 112021056, while the sum is 66.

The spelling of 31274977947213 in words is "thirty-one trillion, two hundred seventy-four billion, nine hundred seventy-seven million, nine hundred forty-seven thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 163 231 259 273 407 429 481 489 777 1001 1141 1221 1443 1793 2119 2849 3003 3367 3423 5291 5379 6031 6357 8547 10101 12551 14833 15873 18093 23309 37037 37653 42217 44499 66341 69927 78403 111111 126651 163163 199023 235209 464387 489489 548821 862433 1393161 1646463 1726841 2587299 5180523 6037031 12087887 18111093 18995251 22448933 36263661 56985753 63893117 67346799 132966757 157142531 191679351 246938263 281475083 398900271 447251819 471427593 702824287 740814789 830610521 844425249 1341755457 1728567841 1970325581 2108472861 2491831563 3096225913 3659176079 4919770009 5185703523 5814273647 5910976743 9136715731 9288677739 10414578071 10977528237 14759310027 17442820941 21673581391 25614232553 27410147193 31243734213 40250936869 63957010117 65020744173 72902046497 76842697659 114560358781 120752810607 135389514923 191871030351 218706139491 281756558083 343681076343 406168544769 801922511467 845269674249 947726604461 1489284664153 2405767534401 2843179813383 4467853992459 10424992649071 31274977947213