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34100430231 = 3783167193607
BaseRepresentation
bin11111110000100010…
…110100010110010111
310021000111222100012110
4133300202310112113
51024314202231411
623355430322103
72315016605640
oct376042642627
9107014870173
1034100430231
1113509892a4a
1267381b9333
1332a5a4b08a
141916c626c7
15d48adb2a6
hex7f08b4597

34100430231 has 64 divisors (see below), whose sum is σ = 53265235968. Its totient is φ = 19005401088.

The previous prime is 34100430211. The next prime is 34100430241. The reversal of 34100430231 is 13203400143.

It is not a de Polignac number, because 34100430231 - 26 = 34100430167 is a prime.

It is a super-2 number, since 2×341004302312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34100430198 and 34100430207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100430211) 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 63 ways as a sum of consecutive naturals, for example, 56178330 + ... + 56178936.

It is an arithmetic number, because the mean of its divisors is an integer number (832269312).

Almost surely, 234100430231 is an apocalyptic number.

34100430231 is a deficient number, since it is larger than the sum of its proper divisors (19164805737).

34100430231 is a wasteful number, since it uses less digits than its factorization.

34100430231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34100430231 its reverse (13203400143), we get a palindrome (47303830374).

The spelling of 34100430231 in words is "thirty-four billion, one hundred million, four hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 7 21 83 167 193 249 501 579 581 607 1169 1351 1743 1821 3507 4053 4249 12747 13861 16019 32231 41583 48057 50381 96693 97027 101369 112133 117151 151143 225617 291081 304107 336399 351453 352667 676851 709583 820057 1058001 2128749 2460171 2675173 8025519 8413627 9723533 18726211 19564217 25240881 29170599 56178633 58692651 58895389 68064731 136949519 176686167 204194193 410848557 1623830011 4871490033 11366810077 34100430231