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101133210331310 = 251729151991137087
BaseRepresentation
bin10110111111101011101001…
…000100111010100010101110
3111021002020111022110221001012
4112333223221010322202232
5101223431303321100220
6555031542212545222
730205430142055163
oct2677535104724256
9437066438427035
10101133210331310
112a251398770673
12b414363622212
134457a89431421
141ad8c32c3c06a
15ba5a90b38ac5
hex5bfae913a8ae

101133210331310 has 128 divisors (see below), whose sum is σ = 200918980362240. Its totient is φ = 36480229632000.

The previous prime is 101133210331253. The next prime is 101133210331313. The reversal of 101133210331310 is 13133012331101.

It is a super-2 number, since 2×1011332103313102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133210331313) 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, 737661587 + ... + 737798673.

It is an arithmetic number, because the mean of its divisors is an integer number (1569679534080).

Almost surely, 2101133210331310 is an apocalyptic number.

101133210331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101133210331310 is a deficient number, since it is larger than the sum of its proper divisors (99785770030930).

101133210331310 is a wasteful number, since it uses less digits than its factorization.

101133210331310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138282.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101133210331310 its reverse (13133012331101), we get a palindrome (114266222662411).

The spelling of 101133210331310 in words is "one hundred one trillion, one hundred thirty-three billion, two hundred ten million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 17 29 34 58 85 145 151 170 290 302 493 755 986 991 1510 1982 2465 2567 4379 4930 4955 5134 8758 9910 12835 16847 21895 25670 28739 33694 43790 57478 74443 84235 137087 143695 148886 149641 168470 274174 287390 299282 372215 488563 685435 744430 748205 977126 1370870 1496410 2330479 2442815 2543897 3975523 4339589 4660958 4885630 5087794 7951046 8679178 11652395 12719485 19877615 20700137 21697945 23304790 25438970 39755230 41400274 43395890 67583891 73773013 103500685 135167782 135853217 147546026 207001370 271706434 337919455 351902329 368865065 600303973 675838910 679266085 703804658 737730130 1200607946 1358532170 1759511645 2309504689 3001519865 3519023290 3939743293 4619009378 6003039730 7879486586 10205167541 11547523445 19698716465 20410335082 20513835767 23095046890 39397432930 41027671534 51025837705 66975635981 102051675410 102569178835 133951271962 205138357670 334878179905 348735208039 594901237243 669756359810 697470416078 1189802474486 1743676040195 2974506186215 3487352080390 5949012372430 10113321033131 20226642066262 50566605165655 101133210331310