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31302301300100 = 22527113813192451
BaseRepresentation
bin1110001111000001000101…
…00011001011010110000100
311002211110201012100100222022
413013200202203023112010
513100324103113100400
6150324024555422312
76410342130655415
oct707404243132604
9132743635310868
1031302301300100
119a79260042056
123616719454998
131460a4324550c
147a307a42180c
153943a0c7ab85
hex1c78228cb584

31302301300100 has 72 divisors (see below), whose sum is σ = 68932598406336. Its totient is φ = 12335626800000.

The previous prime is 31302301300099. The next prime is 31302301300177. The reversal of 31302301300100 is 100310320313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8208875 + ... + 11401325.

It is an arithmetic number, because the mean of its divisors is an integer number (957397200088).

Almost surely, 231302301300100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302301300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34466299203168).

31302301300100 is an abundant number, since it is smaller than the sum of its proper divisors (37630297106236).

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

31302301300100 is a wasteful number, since it uses less digits than its factorization.

31302301300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193917 (or 3193910 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31302301300100 its reverse (100310320313), we get a palindrome (31402611620413).

The spelling of 31302301300100 in words is "thirty-one trillion, three hundred two billion, three hundred one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1381 1420 1775 2762 3550 5524 6905 7100 13810 27620 34525 69050 98051 138100 196102 392204 490255 980510 1961020 2451275 3192451 4902550 6384902 9805100 12769804 15962255 31924510 63849020 79811275 159622550 226664021 319245100 453328042 906656084 1133320105 2266640210 4408774831 4533280420 5666600525 8817549662 11333201050 17635099324 22043874155 22666402100 44087748310 88175496620 110219370775 220438741550 313023013001 440877483100 626046026002 1252092052004 1565115065005 3130230130010 6260460260020 7825575325025 15651150650050 31302301300100