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132111626010 = 23571355638699
BaseRepresentation
bin111101100001001110…
…1110110111100011010
3110122000002022221221120
41323002131312330122
54131031034013020
6140405150350110
712354564202260
oct1730235667432
9418002287846
10132111626010
1151034628aa1
122172babb336
13c5c5503390
146573b00430
153683425740
hex1ec2776f1a

132111626010 has 128 divisors (see below), whose sum is σ = 390352435200. Its totient is φ = 27865886976.

The previous prime is 132111625979. The next prime is 132111626029. The reversal of 132111626010 is 10626111231.

It is a happy number.

It is a super-2 number, since 2×1321116260102 (a number of 23 digits) contains 22 as substring.

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, 15182641 + ... + 15191339.

It is an arithmetic number, because the mean of its divisors is an integer number (3049628400).

Almost surely, 2132111626010 is an apocalyptic number.

132111626010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132111626010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195176217600).

132111626010 is an abundant number, since it is smaller than the sum of its proper divisors (258240809190).

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

132111626010 is a wasteful number, since it uses less digits than its factorization.

132111626010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14292.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 132111626010 its reverse (10626111231), we get a palindrome (142737737241).

The spelling of 132111626010 in words is "one hundred thirty-two billion, one hundred eleven million, six hundred twenty-six thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 5563 8699 11126 16689 17398 26097 27815 33378 38941 43495 52194 55630 60893 72319 77882 83445 86990 113087 116823 121786 130485 144638 166890 182679 194705 216957 226174 233646 260970 304465 339261 361595 365358 389410 433914 506233 565435 584115 608930 678522 723190 791609 913395 1012466 1084785 1130870 1168230 1518699 1583218 1696305 1826790 2169570 2374827 2531165 3037398 3392610 3958045 4749654 5062330 7593495 7916090 11874135 15186990 23748270 48392537 96785074 145177611 241962685 290355222 338747759 483925370 629102981 677495518 725888055 1016243277 1258205962 1451776110 1693738795 1887308943 2032486554 3145514905 3387477590 3774617886 4403720867 5081216385 6291029810 8807441734 9436544715 10162432770 13211162601 18873089430 22018604335 26422325202 44037208670 66055813005 132111626010