Search a number
-
+
34155122100 = 223521110350037
BaseRepresentation
bin11111110011110011…
…011100110110110100
310021011022212222100020
4133303303130312310
51024422202401400
623405102445140
72316252514311
oct376363346664
9107138788306
1034155122100
1113537748840
1267525937b0
1332b4189c28
14192021bd08
15d4d7e12a0
hex7f3cdcdb4

34155122100 has 72 divisors (see below), whose sum is σ = 107805995808. Its totient is φ = 8280028800.

The previous prime is 34155122077. The next prime is 34155122149. The reversal of 34155122100 is 122155143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5171719 + ... + 5178318.

Almost surely, 234155122100 is an apocalyptic number.

34155122100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34155122100 is an abundant number, since it is smaller than the sum of its proper divisors (73650873708).

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

34155122100 is a wasteful number, since it uses less digits than its factorization.

34155122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350065 (or 10350058 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 34155122100 its reverse (122155143), we get a palindrome (34277277243).

The spelling of 34155122100 in words is "thirty-four billion, one hundred fifty-five million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 10350037 20700074 31050111 41400148 51750185 62100222 103500370 113850407 124200444 155250555 207000740 227700814 258750925 310501110 341551221 455401628 517501850 569252035 621002220 683102442 776252775 1035003700 1138504070 1366204884 1552505550 1707756105 2277008140 2846260175 3105011100 3415512210 5692520350 6831024420 8538780525 11385040700 17077561050 34155122100