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3330101103132 = 22323673103117389
BaseRepresentation
bin110000011101011001011…
…111100100101000011100
3102210100120110201202222210
4300131121133210220130
5414030021340300012
611025454411440420
7462410003223546
oct60353137445034
912710513652883
103330101103132
111074319291311
12459490156110
131b204796252b
14b726ba80696
155b95484d23c
hex307597e4a1c

3330101103132 has 96 divisors (see below), whose sum is σ = 8128463293440. Its totient is φ = 1059104471040.

The previous prime is 3330101103097. The next prime is 3330101103149. The reversal of 3330101103132 is 2313011010333.

3330101103132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33301011031322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330101103099 and 3330101103108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191497494 + ... + 191514882.

It is an arithmetic number, because the mean of its divisors is an integer number (84671492640).

Almost surely, 23330101103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330101103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064231646720).

3330101103132 is an abundant number, since it is smaller than the sum of its proper divisors (4798362190308).

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

3330101103132 is a wasteful number, since it uses less digits than its factorization.

3330101103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19121 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3330101103132 its reverse (2313011010333), we get a palindrome (5643112113465).

The spelling of 3330101103132 in words is "three trillion, three hundred thirty billion, one hundred one million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 673 1031 1346 2019 2062 2692 3093 4038 4124 6186 8076 12372 15479 17389 23713 30958 34778 46437 47426 52167 61916 69556 71139 92874 94852 104334 142278 185748 208668 284556 399947 693863 799894 1199841 1387726 1599788 2081589 2399682 2775452 4163178 4799364 8326356 11702797 15958849 17928059 23405594 31917698 35108391 35856118 46811188 47876547 53784177 63835396 70216782 71712236 95753094 107568354 140433564 191506188 215136708 269164331 412345357 538328662 807492993 824690714 1076657324 1237036071 1614985986 1649381428 2474072142 3229971972 4948144284 12065583707 24131167414 36196751121 48262334828 72393502242 144787004484 277508425261 555016850522 832525275783 1110033701044 1665050551566 3330101103132