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102434031 = 3374113219
BaseRepresentation
bin1100001101100…
…00010011101111
321010202012002000
412012300103233
5202210342111
614055303343
72352450330
oct606602357
9233665060
10102434031
1152904227
122a37ab53
13182b666b
14d866287
158ed5c56
hex61b04ef

102434031 has 32 divisors (see below), whose sum is σ = 177676800. Its totient is φ = 57101760.

The previous prime is 102434011. The next prime is 102434047. The reversal of 102434031 is 130434201.

It is not a de Polignac number, because 102434031 - 25 = 102433999 is a prime.

It is a super-2 number, since 2×1024340312 = 20985461413817922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102433995 and 102434013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102434011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140 + ... + 14358.

It is an arithmetic number, because the mean of its divisors is an integer number (5552400).

Almost surely, 2102434031 is an apocalyptic number.

102434031 is a deficient number, since it is larger than the sum of its proper divisors (75242769).

102434031 is a wasteful number, since it uses less digits than its factorization.

102434031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102434031 is about 10120.9698645930. The cubic root of 102434031 is about 467.8946590653.

Adding to 102434031 its reverse (130434201), we get a palindrome (232868232).

The spelling of 102434031 in words is "one hundred two million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 13219 39657 92533 118971 277599 356913 541979 832797 1625937 2498391 3793853 4877811 11381559 14633433 34144677 102434031