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3321130311234 = 2333729349911369
BaseRepresentation
bin110000010101000010110…
…010101101111001000010
3102202111102021121022222000
4300111002302231321002
5413403133324424414
611021412312324430
7461641463602401
oct60250262557102
912674367538860
103321130311234
11107053552a60a
124577a79a3716
131b124826a948
14b6a5a4ad638
155b5cbee0b09
hex30542cade42

3321130311234 has 128 divisors (see below), whose sum is σ = 7621538400000. Its totient is φ = 1071201729024.

The previous prime is 3321130311227. The next prime is 3321130311263. The reversal of 3321130311234 is 4321130311233.

3321130311234 is a `hidden beast` number, since 3 + 3 + 2 + 113 + 0 + 311 + 234 = 666.

It is a super-2 number, since 2×33211303112342 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3321130311198 and 3321130311207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292115902 + ... + 292127270.

It is an arithmetic number, because the mean of its divisors is an integer number (59543268750).

Almost surely, 23321130311234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321130311234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810769200000).

3321130311234 is an abundant number, since it is smaller than the sum of its proper divisors (4300408088766).

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

3321130311234 is a wasteful number, since it uses less digits than its factorization.

3321130311234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 3321130311234 its reverse (4321130311233), we get a palindrome (7642260622467).

Subtracting 3321130311234 from its reverse (4321130311233), we obtain a palindrome (999999999999).

The spelling of 3321130311234 in words is "three trillion, three hundred twenty-one billion, one hundred thirty million, three hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 293 333 499 586 666 879 998 999 1497 1758 1998 2637 2994 4491 5274 7911 8982 10841 11369 13473 15822 18463 21682 22738 26946 32523 34107 36926 55389 65046 68214 97569 102321 110778 146207 166167 195138 204642 292414 292707 306963 332334 420653 438621 498501 585414 613926 841306 877242 997002 1261959 1315863 2523918 2631726 3331117 3785877 3947589 5409659 5673131 6662234 7571754 7895178 9993351 10819318 11346262 11357631 16228977 17019393 19986702 22715262 29980053 32457954 34038786 48686931 51058179 59960106 89940159 97373862 102116358 123251329 146060793 153174537 179880318 209905847 246502658 292121586 306349074 369753987 419811694 629717541 739507974 1109261961 1259435082 1662227383 1889152623 2218523922 3324454766 3327785883 3778305246 4986682149 5667457869 6655571766 9973364298 11334915738 14960046447 29920092894 44880139341 61502413171 89760278682 123004826342 184507239513 369014479026 553521718539 1107043437078 1660565155617 3321130311234