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10035542105240 = 235417018729291
BaseRepresentation
bin1001001000001001010011…
…1011000001110010011000
31022112101111011222021100112
42102002110323001302120
52303410242234331430
633202133035423452
72054021042301341
oct222022473016230
938471434867315
1010035542105240
11321a05a98a813
121160b568b4b88
1357a469787122
14269a196310c8
151260aa3a7195
hex92094ec1c98

10035542105240 has 64 divisors (see below), whose sum is σ = 23163700079520. Its totient is φ = 3910721920000.

The previous prime is 10035542105201. The next prime is 10035542105261. The reversal of 10035542105240 is 4250124553001.

It is a junction number, because it is equal to n+sod(n) for n = 10035542105197 and 10035542105206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3215006 + ... + 5514285.

Almost surely, 210035542105240 is an apocalyptic number.

10035542105240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035542105240 is an abundant number, since it is smaller than the sum of its proper divisors (13128157974280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10035542105240 is a wasteful number, since it uses less digits than its factorization.

10035542105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730044 (or 8730040 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 10035542105240 its reverse (4250124553001), we get a palindrome (14285666658241).

The spelling of 10035542105240 in words is "ten trillion, thirty-five billion, five hundred forty-two million, one hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 701 820 1402 1640 2804 3505 5608 7010 14020 28040 28741 57482 114964 143705 229928 287410 574820 1149640 8729291 17458582 34917164 43646455 69834328 87292910 174585820 349171640 357900931 715801862 1431603724 1789504655 2863207448 3579009310 6119232991 7158018620 12238465982 14316037240 24476931964 30596164955 48953863928 61192329910 122384659820 244769319640 250888552631 501777105262 1003554210524 1254442763155 2007108421048 2508885526310 5017771052620 10035542105240