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1000120002123 = 311271131296221
BaseRepresentation
bin11101000110110111100…
…11000010011001001011
310112121111002020011110010
432203123303002121023
5112341221210031443
62043240534323003
7132153622516314
oct16433363023113
93477432204403
101000120002123
1135616a739300
121419b61b9463
13734070c3708
143659836360b
151b03706c733
hexe8dbcc264b

1000120002123 has 48 divisors (see below), whose sum is σ = 1497736348416. Its totient is φ = 593032440000.

The previous prime is 1000120002097. The next prime is 1000120002127. The reversal of 1000120002123 is 3212000210001.

It is not a de Polignac number, because 1000120002123 - 26 = 1000120002059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000120002099 and 1000120002108.

It is not an unprimeable number, because it can be changed into a prime (1000120002127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228153 + ... + 3524373.

It is an arithmetic number, because the mean of its divisors is an integer number (31202840592).

Almost surely, 21000120002123 is an apocalyptic number.

1000120002123 is a deficient number, since it is larger than the sum of its proper divisors (497616346293).

1000120002123 is a wasteful number, since it uses less digits than its factorization.

1000120002123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296448 (or 296437 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000120002123 its reverse (3212000210001), we get a palindrome (4212120212124).

The spelling of 1000120002123 in words is "one trillion, one hundred twenty million, two thousand, one hundred twenty-three".

Divisors: 1 3 11 33 71 121 131 213 363 393 781 1441 2343 4323 8591 9301 15851 25773 27903 47553 102311 296221 306933 888663 1125421 3258431 3376263 9775293 21031691 35842741 38804951 63095073 107528223 116414853 231348601 426854461 694045803 1280563383 2544834611 2755151521 4695399071 7634503833 8265454563 14086197213 30306666731 90920000193 333373334041 1000120002123