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10161241433343 = 3471113125322103
BaseRepresentation
bin1001001111011101100100…
…1011111010010011111111
31022222101221101102202020000
42103313121023322103333
52312440210301331333
633340002044325343
72066061015043560
oct223673113722377
938871841382200
1010161241433343
1132683a3982450
121181397243853
1358927c665690
14271b4187a167
151294b58a2713
hex93dd92fa4ff

10161241433343 has 80 divisors (see below), whose sum is σ = 20380381840896. Its totient is φ = 4872523325760.

The previous prime is 10161241433309. The next prime is 10161241433381. The reversal of 10161241433343 is 34333414216101.

10161241433343 is a `hidden beast` number, since 1 + 0 + 1 + 612 + 4 + 1 + 4 + 3 + 3 + 34 + 3 = 666.

It is not a de Polignac number, because 10161241433343 - 26 = 10161241433279 is a prime.

It is a super-3 number, since 3×101612414333433 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10161241433298 and 10161241433307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161241433303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62579971 + ... + 62742132.

Almost surely, 210161241433343 is an apocalyptic number.

10161241433343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10161241433343 is an abundant number, since it is smaller than the sum of its proper divisors (10219140407553).

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

10161241433343 is a wasteful number, since it uses less digits than its factorization.

10161241433343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125322146 (or 125322137 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 10161241433343 its reverse (34333414216101), we get a palindrome (44494655649444).

The spelling of 10161241433343 in words is "ten trillion, one hundred sixty-one billion, two hundred forty-one million, four hundred thirty-three thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 273 297 351 429 567 693 819 891 1001 1053 1287 2079 2457 3003 3861 6237 7371 9009 11583 27027 81081 125322103 375966309 877254721 1127898927 1378543133 1629187339 2631764163 3383696781 4135629399 4887562017 7895292489 9649801931 10151090343 11404311373 12406888197 14662686051 17921060729 23685877467 28949405793 34212934119 37220664591 43988058153 53763182187 71057632401 86848217379 102638802357 111661993773 125447425103 131964174459 161289546561 260544652137 307916407071 376342275309 483868639683 781633956411 923749221213 1129026825927 1451605919049 3387080477781 10161241433343