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10145542603133 = 7314123337313121
BaseRepresentation
bin1001001110100011000101…
…1101101000000101111101
31022220220102022022112201002
42103220301131220011331
52312211032401300013
633324444204100045
72064664001144360
oct223506135500575
938826368275632
1010145542603133
11326177833aa03
12117a335834625
1358794a0c9832
142710929040d7
15128d9754c358
hex93a3176817d

10145542603133 has 64 divisors (see below), whose sum is σ = 12347435003904. Its totient is φ = 8152621056000.

The previous prime is 10145542603099. The next prime is 10145542603159. The reversal of 10145542603133 is 33130624554101.

10145542603133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145542603133 - 212 = 10145542599037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145542653133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773222813 + ... + 773235933.

It is an arithmetic number, because the mean of its divisors is an integer number (192928671936).

Almost surely, 210145542603133 is an apocalyptic number.

It is an amenable number.

10145542603133 is a deficient number, since it is larger than the sum of its proper divisors (2201892400771).

10145542603133 is a wasteful number, since it uses less digits than its factorization.

10145542603133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13806.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 10145542603133 in words is "ten trillion, one hundred forty-five billion, five hundred forty-two million, six hundred three thousand, one hundred thirty-three".

Divisors: 1 7 31 41 217 233 287 373 1271 1631 2611 7223 8897 9553 11563 13121 15293 50561 66871 80941 86909 91847 107051 296143 406751 474083 537961 608363 2073001 2694179 2847257 3057193 3318581 3563269 3765727 4894133 16676791 18859253 21400351 24942883 34258931 94772983 110461339 116737537 125344913 151718123 200659453 663410881 773229373 877414391 1062026861 1140332989 1404616171 3885692303 6220443043 7982330923 27199846121 35350322659 43543101301 46753652549 247452258613 327275567843 1449363229019 10145542603133