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101320131102333 = 311134134737334447
BaseRepresentation
bin10111000010011001101110…
…011011000100011001111101
3111021202002222010212221100120
4113002121232123010121331
5101240012112030233313
6555253454201445153
730225065205312243
oct2702315633043175
9437662863787316
10101320131102333
112a313698662520
12b44462aaa07b9
13446c5a7b2b450
141b03cc5c4c793
15baa880c0ad23
hex5c266e6c467d

101320131102333 has 128 divisors (see below), whose sum is σ = 163131150680064. Its totient is φ = 55113554995200.

The previous prime is 101320131102331. The next prime is 101320131102341. The reversal of 101320131102333 is 333201131023101.

It is not a de Polignac number, because 101320131102333 - 21 = 101320131102331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320131102331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22783926516 + ... + 22783930962.

It is an arithmetic number, because the mean of its divisors is an integer number (1274462114688).

Almost surely, 2101320131102333 is an apocalyptic number.

101320131102333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101320131102333 is a deficient number, since it is larger than the sum of its proper divisors (61811019577731).

101320131102333 is a wasteful number, since it uses less digits than its factorization.

101320131102333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101320131102333 its reverse (333201131023101), we get a palindrome (434521262125434).

The spelling of 101320131102333 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-one million, one hundred two thousand, three hundred thirty-three".

Divisors: 1 3 11 13 33 39 41 123 143 347 429 451 533 1041 1353 1599 3733 3817 4447 4511 5863 11199 11451 13341 13533 14227 17589 41063 42681 48529 48917 49621 57811 123189 145587 146751 148863 153053 156497 173433 182327 184951 459159 469491 533819 546981 554853 635921 1295351 1543109 1601457 1683583 1907763 1989689 2005597 2034461 2370251 3886053 4629327 5050749 5969067 6016791 6103383 7110753 14248861 16600651 16839563 16974199 20060417 21886579 26072761 42746583 49801953 50518689 50922597 53109391 60181251 63267469 65659737 78218283 159328173 182607161 185235193 189802407 215808463 220664587 547821483 555705579 584203301 647425389 661993761 680626691 690422083 695942159 822477097 1752609903 2041880073 2071266249 2087826477 2373893093 2467431291 5760425897 7121679279 7486893601 7594642913 8848146983 9047248067 17281277691 22460680803 22783928739 26544440949 27141744201 63364684867 74885536661 97329616813 190094054601 224656609983 236177461777 291988850439 708532385331 823740903271 2471222709813 2597952079547 3070307003101 7793856238641 9210921009303 33773377034111 101320131102333