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100131210322 = 2111341591011433
BaseRepresentation
bin101110101000001001…
…0010000010001010010
3100120110022112111222021
41131100102100101102
53120032042212242
6113555531202054
710143226146613
oct1352022202122
9316408474867
10100131210322
1139513504390
12174a58a632a
139599a600a0
144bbc657c0a
152910a06b67
hex1750490452

100131210322 has 128 divisors (see below), whose sum is σ = 185772061440. Its totient is φ = 39866880000.

The previous prime is 100131210317. The next prime is 100131210337. The reversal of 100131210322 is 223012131001.

It is a junction number, because it is equal to n+sod(n) for n = 100131210296 and 100131210305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69874518 + ... + 69875950.

It is an arithmetic number, because the mean of its divisors is an integer number (1451344230).

Almost surely, 2100131210322 is an apocalyptic number.

100131210322 is a deficient number, since it is larger than the sum of its proper divisors (85640851118).

100131210322 is a wasteful number, since it uses less digits than its factorization.

100131210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100131210322 its reverse (223012131001), we get a palindrome (323143341323).

The spelling of 100131210322 in words is "one hundred billion, one hundred thirty-one million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 11 13 22 26 41 59 82 101 118 143 202 286 451 533 649 767 902 1066 1111 1298 1313 1433 1534 2222 2419 2626 2866 4141 4838 5863 5959 8282 8437 11726 11918 14443 15763 16874 18629 26609 28886 31447 31526 37258 45551 53218 53833 58753 62894 65549 77467 84547 91102 107666 117506 131098 144733 154934 169094 204919 244319 289466 345917 409838 488638 592163 646283 691834 763789 852137 930017 1099111 1184326 1292566 1527578 1592063 1704274 1860034 1881529 2198222 2687509 3176147 3184126 3466427 3763058 5375018 5934053 6352294 6932854 8401679 8539247 11868106 12090221 16803358 17078494 20696819 24180442 34937617 38130697 41393638 45063551 65274583 69875234 76261394 77142689 90127102 93931717 111010211 130549166 154285378 187863434 222020422 350109127 495699061 700218254 848569579 991398122 1221112321 1697139158 2442224642 3851200397 4551418651 7702400794 9102837302 50065605161 100131210322