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10020300222123 = 3319127697122063
BaseRepresentation
bin1001000111010000100001…
…1011110110111010101011
31022110221010221200101102000
42101310020123312322223
52303133033324101443
633151132401142043
72052641244364332
oct221641033667253
938427127611360
1010020300222123
1132136492793a4
12115a00232a923
13578baaaab089
14268db1244d19
151259b72138d3
hex91d086f6eab

10020300222123 has 64 divisors (see below), whose sum is σ = 15752213299200. Its totient is φ = 6277593843360.

The previous prime is 10020300222109. The next prime is 10020300222187. The reversal of 10020300222123 is 32122200302001.

10020300222123 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 300 + 222 + 123 = 666.

It is not a de Polignac number, because 10020300222123 - 221 = 10020298124971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020300222096 and 10020300222105.

It is not an unprimeable number, because it can be changed into a prime (10020300220123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 454156590 + ... + 454178652.

It is an arithmetic number, because the mean of its divisors is an integer number (246128332800).

Almost surely, 210020300222123 is an apocalyptic number.

10020300222123 is a deficient number, since it is larger than the sum of its proper divisors (5731913077077).

10020300222123 is a wasteful number, since it uses less digits than its factorization.

10020300222123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29189 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10020300222123 its reverse (32122200302001), we get a palindrome (42142500524124).

The spelling of 10020300222123 in words is "ten trillion, twenty billion, three hundred million, two hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 19 27 57 127 171 381 513 1143 2413 3429 6971 7239 20913 21717 22063 62739 65151 66189 132449 188217 198567 397347 419197 595701 885317 1192041 1257591 2655951 2802001 3576123 3772773 7967853 8406003 11318319 16821023 23903559 25218009 50463069 53238019 75654027 151389207 153801173 159714057 454167621 461403519 479142171 1384210557 1437426513 2922222287 4152631671 8766666861 19532748971 26300000583 58598246913 78900001749 175794740739 371122230449 527384222217 1113366691347 3340100074041 10020300222123