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31301220104 = 23711794991289
BaseRepresentation
bin11101001001101100…
…101011011100001000
32222210102202201210022
4131021230223130020
51003101103020404
622213553440012
72155446660320
oct351154533410
988712681708
1031301220104
11123027a4a50
126096870008
132c4ab3951b
14172d1a6280
15c32eaa8be
hex749b2b708

31301220104 has 128 divisors (see below), whose sum is σ = 74304000000. Its totient is φ = 12007457280.

The previous prime is 31301220091. The next prime is 31301220107. The reversal of 31301220104 is 40102210313.

It is not an unprimeable number, because it can be changed into a prime (31301220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24282692 + ... + 24283980.

It is an arithmetic number, because the mean of its divisors is an integer number (580500000).

Almost surely, 231301220104 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 31301220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37152000000).

31301220104 is an abundant number, since it is smaller than the sum of its proper divisors (43002779896).

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

31301220104 is a wasteful number, since it uses less digits than its factorization.

31301220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31301220104 its reverse (40102210313), we get a palindrome (71403430417).

The spelling of 31301220104 in words is "thirty-one billion, three hundred one million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 79 88 154 158 308 316 499 553 616 632 869 998 1106 1289 1738 1996 2212 2578 3476 3493 3992 4424 5156 5489 6083 6952 6986 9023 10312 10978 12166 13972 14179 18046 21956 24332 27944 28358 36092 38423 39421 43912 48664 56716 72184 76846 78842 99253 101831 113432 153692 157684 198506 203662 275947 307384 315368 397012 407324 433631 551894 643211 712817 794024 814648 867262 1103788 1120141 1286422 1425634 1734524 2207576 2240282 2572844 2851268 3035417 3469048 4480564 4502477 5145688 5702536 6070834 7075321 7840987 8961128 9004954 12141668 14150642 15681974 18009908 24283336 28301284 31363948 36019816 49527247 50813669 56602568 62727896 99054494 101627338 198108988 203254676 355695683 396217976 406509352 558950359 711391366 1117900718 1422782732 2235801436 2845565464 3912652513 4471602872 7825305026 15650610052 31301220104