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31303100210031 = 3313598935947309
BaseRepresentation
bin1110001111000010100100…
…01010110001101101101111
311002211112202212122012101000
413013201102022301231233
513100332222123210111
6150324240135051343
76410401001412036
oct707412212615557
9132745685565330
1031303100210031
119a7962aaa89a1
123616900b10b53
131460b3c9061a0
147a311458571d
153943eae89c56
hex1c78522b1b6f

31303100210031 has 128 divisors (see below), whose sum is σ = 51503558400000. Its totient is φ = 18671621354496.

The previous prime is 31303100210017. The next prime is 31303100210033. The reversal of 31303100210031 is 13001200130313.

It is a happy number.

31303100210031 is a `hidden beast` number, since 313 + 0 + 310 + 0 + 2 + 10 + 0 + 31 = 666.

It is not a de Polignac number, because 31303100210031 - 26 = 31303100209967 is a prime.

It is a super-2 number, since 2×313031002100312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31303100209986 and 31303100210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303100210033) 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, 661649605 + ... + 661696913.

It is an arithmetic number, because the mean of its divisors is an integer number (402371550000).

Almost surely, 231303100210031 is an apocalyptic number.

31303100210031 is a deficient number, since it is larger than the sum of its proper divisors (20200458189969).

31303100210031 is a wasteful number, since it uses less digits than its factorization.

31303100210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47838 (or 47832 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31303100210031 its reverse (13001200130313), we get a palindrome (44304300340344).

The spelling of 31303100210031 in words is "thirty-one trillion, three hundred three billion, one hundred million, two hundred ten thousand, thirty-one".

Divisors: 1 3 9 13 27 39 59 89 117 177 267 351 359 531 767 801 1077 1157 1593 2301 2403 3231 3471 4667 5251 6903 9693 10413 14001 15753 20709 21181 31239 31951 42003 47259 47309 63543 68263 95853 126009 141777 141927 190629 204789 275353 287559 415363 425781 571887 614367 615017 826059 862677 1246089 1277343 1843101 1845051 1885109 2478177 2791231 3738267 4210501 5535153 5655327 7434531 8373693 11214801 12631503 16605459 16965981 16983931 24506417 25121079 36286003 37894509 50897943 50951793 54736513 73519251 75363237 108858009 113683527 152855379 164209539 220557753 220791103 248419559 326574027 458566137 492628617 661673259 662373309 745258677 979722081 1002051929 1477885851 1511569859 1987119927 2235776031 3006155787 3229454267 4534709577 5961359781 6707328093 9018467361 9688362801 13026675077 13604128731 19650408167 27055402083 29065088403 39080025231 40812386193 58951224501 87195265209 89182621681 117240075693 176853673503 267547865043 351720227079 530561020509 802643595129 1159374081853 2407930785387 3478122245559 10434366736677 31303100210031