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10125206150332 = 2271351377109
BaseRepresentation
bin1001001101010111010101…
…0100001101110010111100
31022211221221000200200222111
42103111311110031302330
52311342410233302312
633311242215223404
72063344022145460
oct223256524156274
938757830620874
1010125206150332
1132540919a9a19
1211763bb077b64
13585a58b00000
142700c3a7a4a0
151285a6ec18a7
hex9357550dcbc

10125206150332 has 144 divisors (see below), whose sum is σ = 22101181542720. Its totient is φ = 3975778939392.

The previous prime is 10125206150327. The next prime is 10125206150399. The reversal of 10125206150332 is 23305160252101.

It is a junction number, because it is equal to n+sod(n) for n = 10125206150294 and 10125206150303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424276394 + ... + 1424283502.

It is an arithmetic number, because the mean of its divisors is an integer number (153480427380).

Almost surely, 210125206150332 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 10125206150332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050590771360).

10125206150332 is an abundant number, since it is smaller than the sum of its proper divisors (11975975392388).

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

10125206150332 is an frugal number, since it uses more digits than its factorization.

10125206150332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 10125206150332 in words is "ten trillion, one hundred twenty-five billion, two hundred six million, one hundred fifty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 137 169 182 274 338 364 548 676 959 1183 1781 1918 2197 2366 3562 3836 4394 4732 7109 7124 8788 12467 14218 15379 23153 24934 28436 28561 30758 46306 49763 49868 57122 61516 92417 92612 99526 114244 162071 184834 199052 199927 300989 324142 369668 371293 399854 601978 646919 648284 742586 799708 973933 1201421 1203956 1293838 1485172 1947866 2106923 2402842 2587676 2599051 3895732 3912857 4213846 4805684 5198102 6817531 7825714 8409947 8427692 10396204 12661129 13635062 15618473 15651428 16819894 25322258 27270124 27389999 31236946 33639788 50644516 50867141 54779998 62473892 88627903 101734282 109329311 109559996 164594677 177255806 203040149 203468564 218658622 329189354 354511612 356069987 406080298 437317244 658378708 712139974 812160596 1152162739 1421281043 1424279948 2139730801 2304325478 2639521937 2842562086 4279461602 4608650956 5279043874 5685124172 8558923204 10558087748 14978115607 18476653559 27816500413 29956231214 36953307118 55633000826 59912462428 73906614236 111266001652 194715502891 361614505369 389431005782 723229010738 778862011564 1446458021476 2531301537583 5062603075166 10125206150332