Search a number
-
+
101343532323040 = 2557277326661721
BaseRepresentation
bin10111000010101111100001…
…001111101001000011100000
3111021211100101000102010021121
4113002233201033221003200
5101240403023233314130
6555312324231102024
730226554130356430
oct2702574117510340
9437740330363247
10101343532323040
112a322606a80a47
12b44907bb11914
1344718670686c7
141b050a5b3c2c0
15bab2a0370d7a
hex5c2be13e90e0

101343532323040 has 96 divisors (see below), whose sum is σ = 274615363157184. Its totient is φ = 34620915732480.

The previous prime is 101343532323017. The next prime is 101343532323053. The reversal of 101343532323040 is 40323235343101.

It is a super-2 number, since 2×1013435323230402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101343532322987 and 101343532323005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163020621 + ... + 163641100.

It is an arithmetic number, because the mean of its divisors is an integer number (2860576699554).

Almost surely, 2101343532323040 is an apocalyptic number.

101343532323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101343532323040 is an abundant number, since it is smaller than the sum of its proper divisors (173271830834144).

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

101343532323040 is a wasteful number, since it uses less digits than its factorization.

101343532323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326662020 (or 326662012 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 101343532323040 its reverse (40323235343101), we get a palindrome (141666767666141).

The spelling of 101343532323040 in words is "one hundred one trillion, three hundred forty-three billion, five hundred thirty-two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 277 280 554 560 1108 1120 1385 1939 2216 2770 3878 4432 5540 7756 8864 9695 11080 15512 19390 22160 31024 38780 44320 62048 77560 155120 310240 326661721 653323442 1306646884 1633308605 2286632047 2613293768 3266617210 4573264094 5226587536 6533234420 9146528188 10453175072 11433160235 13066468840 18293056376 22866320470 26132937680 36586112752 45732640940 52265875360 73172225504 90485296717 91465281880 180970593434 182930563760 361941186868 365861127520 452426483585 633397077019 723882373736 904852967170 1266794154038 1447764747472 1809705934340 2533588308076 2895529494944 3166985385095 3619411868680 5067176616152 6333970770190 7238823737360 10134353232304 12667941540380 14477647474720 20268706464608 25335883080760 50671766161520 101343532323040