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1023300323045 = 5711135318121313
BaseRepresentation
bin11101110010000010111…
…00111100011011100101
310121211022120002110211122
432321001130330123211
5113231204340314140
62102033033143325
7133634223142010
oct16710134743345
93554276073748
101023300323045
11364a8539a520
121463a525ab45
137565c639840
1437756b90377
151b9420eaab5
hexee4173c6e5

1023300323045 has 128 divisors (see below), whose sum is σ = 1689198271488. Its totient is φ = 574503321600.

The previous prime is 1023300323021. The next prime is 1023300323051. The reversal of 1023300323045 is 5403230033201.

It is a happy number.

It is not a de Polignac number, because 1023300323045 - 28 = 1023300322789 is a prime.

It is a super-2 number, since 2×10233003230452 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48002309 + ... + 48023621.

It is an arithmetic number, because the mean of its divisors is an integer number (13196861496).

Almost surely, 21023300323045 is an apocalyptic number.

It is an amenable number.

1023300323045 is a deficient number, since it is larger than the sum of its proper divisors (665897948443).

1023300323045 is a wasteful number, since it uses less digits than its factorization.

1023300323045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21583.

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 1023300323045 its reverse (5403230033201), we get a palindrome (6426530356246).

The spelling of 1023300323045 in words is "one trillion, twenty-three billion, three hundred million, three hundred twenty-three thousand, forty-five".

Divisors: 1 5 7 11 13 35 53 55 65 77 91 143 181 265 371 385 455 583 689 715 905 1001 1267 1855 1991 2353 2915 3445 4081 4823 5005 6335 7579 9593 9955 11765 13937 16471 20405 21313 24115 25883 37895 47965 53053 67151 69685 82355 105523 106565 124709 129415 149191 181181 234443 265265 277069 335755 527615 623545 738661 745955 872963 905905 1129589 1172215 1371799 1385345 1641101 1939483 3047759 3693305 3857653 4364815 5647945 6858995 7907123 8205505 9602593 9697415 12425479 14684657 15238795 19288265 21334313 27003571 39535615 42434183 48012965 50149489 62127395 73423285 86978353 102792599 106671565 135017855 161531227 204455609 212170915 250747445 297039281 351046423 434891765 513962995 551644379 807656135 1022278045 1130718589 1431189263 1485196405 1755232115 2249011699 2657922917 2758221895 3861510653 5653592945 7155946315 11245058495 13289614585 15743081893 18605460419 19307553265 29237152087 78715409465 93027302095 146185760435 204660064609 1023300323045