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105046632243 = 3471371352317
BaseRepresentation
bin110000111010101000…
…1000110011100110011
3101001010212202211020000
41201311101012130303
53210113414212433
6120131401521043
710406103433020
oct1416521063463
9331125684200
10105046632243
11406060a3653
1218437aa3183
139ba1217877
1451273c0547
152aec303113
hex1875446733

105046632243 has 40 divisors (see below), whose sum is σ = 180648047712. Its totient is φ = 59588452224.

The previous prime is 105046632241. The next prime is 105046632247. The reversal of 105046632243 is 342236640501.

105046632243 is a `hidden beast` number, since 10 + 5 + 0 + 4 + 6 + 632 + 2 + 4 + 3 = 666.

It is not a de Polignac number, because 105046632243 - 21 = 105046632241 is a prime.

It is a super-2 number, since 2×1050466322432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105046632198 and 105046632207.

It is not an unprimeable number, because it can be changed into a prime (105046632241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 598480 + ... + 753837.

Almost surely, 2105046632243 is an apocalyptic number.

105046632243 is a deficient number, since it is larger than the sum of its proper divisors (75601415469).

105046632243 is a wasteful number, since it uses less digits than its factorization.

105046632243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352473 (or 1352464 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 105046632243 in words is "one hundred five billion, forty-six million, six hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 27 63 81 137 189 411 567 959 1233 2877 3699 8631 11097 25893 77679 1352317 4056951 9466219 12170853 28398657 36512559 85195971 109537677 185267429 255587913 555802287 766763739 1296872003 1667406861 3890616009 5002220583 11671848027 15006661749 35015544081 105046632243