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102031201010010 = 235173493917146347
BaseRepresentation
bin10111001100101111111101…
…011111100000000101011010
3111101021002100211100220122010
4113030233331133200011122
5101333134344424310020
61001000253041410350
730330340163642136
oct2714577537400532
9441232324326563
10102031201010010
112a56820a027648
12b53a3b69399b6
1344c166882b4cc
141b2a49d4203c6
15bbe0eba60de0
hex5ccbfd7e015a

102031201010010 has 128 divisors (see below), whose sum is σ = 260090368070400. Its totient is φ = 25527762653184.

The previous prime is 102031201009999. The next prime is 102031201010021. The reversal of 102031201010010 is 10010102130201.

It is an interprime number because it is at equal distance from previous prime (102031201009999) and next prime (102031201010021).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697113657 + ... + 697260003.

It is an arithmetic number, because the mean of its divisors is an integer number (2031956000550).

Almost surely, 2102031201010010 is an apocalyptic number.

102031201010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031201010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130045184035200).

102031201010010 is an abundant number, since it is smaller than the sum of its proper divisors (158059167060390).

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

102031201010010 is a wasteful number, since it uses less digits than its factorization.

102031201010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150640.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102031201010010 its reverse (10010102130201), we get a palindrome (112041303140211).

The spelling of 102031201010010 in words is "one hundred two trillion, thirty-one billion, two hundred one million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 349 510 698 1047 1745 2094 3490 3917 5235 5933 7834 10470 11751 11866 17799 19585 23502 29665 35598 39170 58755 59330 66589 88995 117510 133178 146347 177990 199767 292694 332945 399534 439041 665890 731735 878082 998835 1367033 1463470 1997670 2195205 2487899 2734066 4101099 4390410 4975798 6835165 7463697 8202198 12439495 13670330 14927394 20505495 23239561 24878990 37318485 41010990 46479122 51075103 69718683 74636970 102150206 116197805 139437366 153225309 232395610 255375515 306450618 348593415 510751030 573241199 697186830 766126545 868276751 1146482398 1532253090 1719723597 1736553502 2604830253 2866205995 3439447194 4341383755 5209660506 5732411990 8598617985 8682767510 9745100383 13024151265 17197235970 19490200766 26048302530 29235301149 48725501915 58470602298 97451003830 146176505745 200061178451 292353011490 400122356902 600183535353 1000305892255 1200367070706 2000611784510 3000917676765 3401040033667 6001835353530 6802080067334 10203120101001 17005200168335 20406240202002 34010400336670 51015600505005 102031201010010