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1010150023129 = 131923435038221
BaseRepresentation
bin11101011001100011010…
…00100001111111011001
310120120101002111000122121
432230301220201333121
5113022241401220004
62052020112421241
7132660313345132
oct16546150417731
93516332430577
101010150023129
1135a447398565
12143935247821
13743450925a0
1436c6a49cc89
151b4228aa854
hexeb31a21fd9

1010150023129 has 64 divisors (see below), whose sum is σ = 1225264803840. Its totient is φ = 823571400960.

The previous prime is 1010150023117. The next prime is 1010150023187. The reversal of 1010150023129 is 9213200510101.

It is a cyclic number.

It is not a de Polignac number, because 1010150023129 - 215 = 1010149990361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010150026129) 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, 122870239 + ... + 122878459.

It is an arithmetic number, because the mean of its divisors is an integer number (19144762560).

Almost surely, 21010150023129 is an apocalyptic number.

1010150023129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1010150023129 is a deficient number, since it is larger than the sum of its proper divisors (215114780711).

1010150023129 is a wasteful number, since it uses less digits than its factorization.

1010150023129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 1010150023129 in words is "one trillion, ten billion, one hundred fifty million, twenty-three thousand, one hundred twenty-nine".

Divisors: 1 13 19 23 43 247 299 437 503 559 817 989 5681 6539 8221 9557 10621 11569 12857 18791 21629 106873 124241 150397 156199 189083 219811 244283 281177 353503 410951 497467 2030587 2458079 2857543 3592577 4135163 4595539 5342363 6467071 6716557 8130569 9451873 46703501 53757119 78568097 87315241 95108749 105697397 122874349 154480811 177812009 1021385261 1236413737 1807066231 2008250543 2311556117 3378428171 4089676207 23491861003 43919566223 53165790691 77703847933 1010150023129