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31300003112202 = 23311239656933563
BaseRepresentation
bin1110001110111100110011…
…00100010010010100001010
311002211020210000220022212000
413013132121210102110022
513100304401244042302
6150323004541331430
76410231153462226
oct707363144222412
9132736700808760
1031300003112202
119a78290849510
123616197866b76
131460768086116
147a2cdd105786
153942b911631c
hex1c779991250a

31300003112202 has 128 divisors (see below), whose sum is σ = 76210149888000. Its totient is φ = 9443444653440.

The previous prime is 31300003112201. The next prime is 31300003112243. The reversal of 31300003112202 is 20221130000313.

31300003112202 is a `hidden beast` number, since 3 + 130 + 0 + 0 + 0 + 311 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31300003112201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 932557873 + ... + 932591435.

It is an arithmetic number, because the mean of its divisors is an integer number (595391796000).

Almost surely, 231300003112202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300003112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38105074944000).

31300003112202 is an abundant number, since it is smaller than the sum of its proper divisors (44910146775798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31300003112202 is a wasteful number, since it uses less digits than its factorization.

31300003112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40393 (or 40387 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31300003112202 its reverse (20221130000313), we get a palindrome (51521133112515).

The spelling of 31300003112202 in words is "thirty-one trillion, three hundred billion, three million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 239 297 478 594 717 1434 2151 2629 4302 5258 6453 6569 7887 12906 13138 15774 19707 23661 33563 39414 47322 59121 67126 70983 72259 100689 118242 141966 144518 177363 201378 216777 302067 354726 369193 433554 604134 650331 738386 906201 1107579 1300662 1569991 1812402 1950993 2215158 3139982 3322737 3901986 4709973 6645474 8021557 9419946 9968211 14129919 16043114 17269901 19936422 24064671 28259838 34539802 42389757 48129342 51809703 72194013 84779514 88237127 103619406 144388026 155429109 176474254 216582039 220475347 264711381 310858218 433164078 440950694 466287327 529422762 661426041 794134143 932574654 1322852082 1588268286 1984278123 2382402429 2425228817 3968556246 4764804858 4850457634 5952834369 7275686451 11905668738 14551372902 21827059353 43654118706 52693607933 65481178059 105387215866 130962356118 158080823799 316161647598 474242471397 579629687263 948484942794 1159259374526 1422727414191 1738889061789 2845454828382 3477778123578 5216667185367 10433334370734 15650001556101 31300003112202