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1035742551381 = 321932112825983
BaseRepresentation
bin11110001001001110001…
…00010001110101010101
310200000102200100011102100
433010213010101311111
5113432200043121011
62111451421232313
7134554444266126
oct17044704216525
93600380304370
101035742551381
1136a28a73985a
12148898102699
13768932a9825
14381b740604d
151be1e5c1d56
hexf127111d55

1035742551381 has 24 divisors (see below), whose sum is σ = 1510951909376. Its totient is φ = 683661565440.

The previous prime is 1035742551341. The next prime is 1035742551407. The reversal of 1035742551381 is 1831552475301.

1035742551381 is a `hidden beast` number, since 1 + 0 + 3 + 57 + 4 + 2 + 5 + 513 + 81 = 666.

It is not a de Polignac number, because 1035742551381 - 27 = 1035742551253 is a prime.

It is a super-3 number, since 3×10357425513813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035742551331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046485 + ... + 1779498.

Almost surely, 21035742551381 is an apocalyptic number.

It is an amenable number.

1035742551381 is a deficient number, since it is larger than the sum of its proper divisors (475209357995).

1035742551381 is a wasteful number, since it uses less digits than its factorization.

1035742551381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826393 (or 2826390 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1035742551381 in words is "one trillion, thirty-five billion, seven hundred forty-two million, five hundred fifty-one thousand, three hundred eighty-one".

Divisors: 1 3 9 193 211 579 633 1737 1899 40723 122169 366507 2825983 8477949 25433847 545414719 596282413 1636244157 1788847239 4908732471 5366541717 115082505709 345247517127 1035742551381