Search a number
-
+
101034024 = 23371346261
BaseRepresentation
bin1100000010110…
…10100000101000
321001010001121220
412001122200220
5201331042044
614005302040
72334526560
oct601324050
9231101556
10101034024
11520383a3
1229a04920
1317c16360
14d5bdda0
158d0b019
hex605a828

101034024 has 64 divisors (see below), whose sum is σ = 310880640. Its totient is φ = 26645760.

The previous prime is 101033993. The next prime is 101034029. The reversal of 101034024 is 420430101.

It is a junction number, because it is equal to n+sod(n) for n = 101033994 and 101034012.

It is not an unprimeable number, because it can be changed into a prime (101034029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20947 + ... + 25314.

It is an arithmetic number, because the mean of its divisors is an integer number (4857510).

Almost surely, 2101034024 is an apocalyptic number.

101034024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101034024 is an abundant number, since it is smaller than the sum of its proper divisors (209846616).

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

101034024 is a wasteful number, since it uses less digits than its factorization.

101034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46290 (or 46286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101034024 is about 10051.5682358526. The cubic root of 101034024 is about 465.7532386690.

Adding to 101034024 its reverse (420430101), we get a palindrome (521464125).

The spelling of 101034024 in words is "one hundred one million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 46261 92522 138783 185044 277566 323827 370088 555132 601393 647654 971481 1110264 1202786 1295308 1804179 1942962 2405572 2590616 3608358 3885924 4209751 4811144 7216716 7771848 8419502 12629253 14433432 16839004 25258506 33678008 50517012 101034024