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31213200231213 = 371113372271237529
BaseRepresentation
bin1110001100011011000111…
…01101100100101100101101
311002111221201120222002111220
413012031203231210230231
513042344113224344323
6150215051330333553
76401036125246320
oct706154355445455
9132457646862456
1031213200231213
119a44497893240
1236013b172a2b9
131455513734250
1479ca26a827b7
15391dd87b90e3
hex1c6363b64b2d

31213200231213 has 128 divisors (see below), whose sum is σ = 57641256529920. Its totient is φ = 14498680043520.

The previous prime is 31213200231193. The next prime is 31213200231217.

31213200231213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31213200231213 - 218 = 31213199969069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213200231217) 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, 24603433 + ... + 25840961.

It is an arithmetic number, because the mean of its divisors is an integer number (450322316640).

Almost surely, 231213200231213 is an apocalyptic number.

31213200231213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31213200231213 is a deficient number, since it is larger than the sum of its proper divisors (26428056298707).

31213200231213 is a wasteful number, since it uses less digits than its factorization.

31213200231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237827.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 31213200 and 231213, that added together give a palindrome (31444413).

The spelling of 31213200231213 in words is "thirty-one trillion, two hundred thirteen billion, two hundred million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 227 231 259 273 407 429 481 681 777 1001 1221 1443 1589 2497 2849 2951 3003 3367 4767 5291 7491 8399 8547 8853 10101 15873 17479 20657 25197 32461 37037 52437 58793 61971 92389 97383 109187 111111 176379 227227 277167 327561 646723 681681 764309 1201057 1237529 1940169 2292927 3603171 3712587 8407399 8662703 13612819 16087877 25222197 25988109 40838457 45788573 48263631 95289733 112615139 137365719 176966647 280919083 285869199 320520011 337845417 503674303 530899941 595251449 842757249 961560033 1238766529 1511022909 1785754347 1966433581 3090109913 3525720121 3651948079 3716299587 4166760143 5899300743 6547765939 9270329739 10394006071 10577160363 10955844237 12500280429 19643297817 21630769391 25563636553 31182018213 40171428869 45834361573 64892308173 72758042497 76690909659 114334066781 120514286607 135122078923 137503084719 218274127491 281200002083 343002200343 405366236769 800338467467 843600006249 945854552461 1486342868153 2401015402401 2837563657383 4459028604459 10404400077071 31213200231213