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1020145154534 = 2111773183120407
BaseRepresentation
bin11101101100001010110…
…00111011100111100110
310121112011200002022022122
432312011120323213212
5113203224124421114
62100352003025542
7133463101512002
oct16660530734746
93545150068278
101020145154534
11363706387740
1214586466b2b2
1375278a66a1c
1437537b15702
151b80a105e8e
hexed8563b9e6

1020145154534 has 64 divisors (see below), whose sum is σ = 1792803290112. Its totient is φ = 430191129600.

The previous prime is 1020145154507. The next prime is 1020145154557. The reversal of 1020145154534 is 4354515410201.

It is a happy number.

It is a super-2 number, since 2×10201451545342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020145154494 and 1020145154503.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49979759 + ... + 50000165.

It is an arithmetic number, because the mean of its divisors is an integer number (28012551408).

Almost surely, 21020145154534 is an apocalyptic number.

1020145154534 is a deficient number, since it is larger than the sum of its proper divisors (772658135578).

1020145154534 is a wasteful number, since it uses less digits than its factorization.

1020145154534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341.

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 1020145154534 in words is "one trillion, twenty billion, one hundred forty-five million, one hundred fifty-four thousand, five hundred thirty-four".

Divisors: 1 2 11 17 22 34 73 146 187 374 803 1241 1606 1831 2482 3662 13651 20141 20407 27302 31127 40282 40814 62254 133663 224477 267326 342397 346919 448954 684794 693838 1470293 1489711 2272271 2940586 2979422 3816109 4544542 7632218 16386821 24994981 25325087 32773642 37365217 49989962 50650174 74730434 278575957 411017387 557151914 635208689 822034774 1270417378 2727660841 5455321682 6987295579 13974591158 30004269251 46370234297 60008538502 92740468594 510072577267 1020145154534