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13065006234 = 23731107191491
BaseRepresentation
bin11000010101011110…
…00010110010011010
31020201112010002020210
430022233002302122
5203224120144414
610000232231550
7641522502120
oct141257026232
936645102223
1013065006234
1155a4945615
12264753b5b6
1313029b2527
148bd24b910
15516ee2e59
hex30abc2c9a

13065006234 has 128 divisors (see below), whose sum is σ = 31340888064. Its totient is φ = 3552696000.

The previous prime is 13065006221. The next prime is 13065006281. The reversal of 13065006234 is 43260056031.

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, 26608729 + ... + 26609219.

It is an arithmetic number, because the mean of its divisors is an integer number (244850688).

Almost surely, 213065006234 is an apocalyptic number.

13065006234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065006234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670444032).

13065006234 is an abundant number, since it is smaller than the sum of its proper divisors (18275881830).

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

13065006234 is a wasteful number, since it uses less digits than its factorization.

13065006234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 13065006234 in words is "thirteen billion, sixty-five million, six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 107 186 191 214 217 321 382 434 491 573 642 651 749 982 1146 1302 1337 1473 1498 2247 2674 2946 3317 3437 4011 4494 5921 6634 6874 8022 9951 10311 11842 15221 17763 19902 20437 20622 23219 30442 35526 40874 41447 45663 46438 52537 61311 69657 82894 91326 93781 105074 106547 122622 124341 139314 143059 157611 187562 213094 248682 281343 286118 315222 319641 367759 429177 562686 633547 639282 656467 735518 858354 1103277 1267094 1312934 1628647 1900641 1969401 2206554 2907211 3257294 3801282 3938802 4434829 4885941 5814422 8721633 8869658 9771882 10034567 11400529 13304487 17443266 20069134 20350477 22801058 26608974 30103701 34201587 40700954 60207402 61051431 68403174 70241969 122102862 140483938 210725907 311071577 421451814 622143154 933214731 1866429462 2177501039 4355002078 6532503117 13065006234