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1023300205131 = 3137110913031723
BaseRepresentation
bin11101110010000010111…
…00011111101001001011
310121211022112212111002110
432321001130133221023
5113231204323031011
62102033030433403
7133634222141151
oct16710134375113
93554275774073
101023300205131
11364a85319976
121463a5202863
137565c5c7c79
1437756b5d3d1
151b9420c5ba6
hexee4171fa4b

1023300205131 has 32 divisors (see below), whose sum is σ = 1377453381120. Its totient is φ = 675698252544.

The previous prime is 1023300205061. The next prime is 1023300205157. The reversal of 1023300205131 is 1315020033201.

It is not a de Polignac number, because 1023300205131 - 210 = 1023300204107 is a prime.

It is a super-2 number, since 2×10233002051312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023300205098 and 1023300205107.

It is not an unprimeable number, because it can be changed into a prime (1023300204131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593905236 + ... + 593906958.

It is an arithmetic number, because the mean of its divisors is an integer number (43045418160).

Almost surely, 21023300205131 is an apocalyptic number.

1023300205131 is a deficient number, since it is larger than the sum of its proper divisors (354153175989).

1023300205131 is a wasteful number, since it uses less digits than its factorization.

1023300205131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 1023300205131 its reverse (1315020033201), we get a palindrome (2338320238332).

The spelling of 1023300205131 in words is "one trillion, twenty-three billion, three hundred million, two hundred five thousand, one hundred thirty-one".

Divisors: 1 3 137 411 1109 1303 1723 3327 3909 5169 151933 178511 236051 455799 535533 708153 1445027 1910807 2245069 4335081 5732421 6735207 197968699 261780559 307574453 593906097 785341677 922723359 2489781521 7469344563 341100068377 1023300205131