Search a number
-
+
1122134024 = 231147972797
BaseRepresentation
bin100001011100010…
…0110100000001000
32220012111022111102
41002320212200020
54244231242044
6303203120532
736543660524
oct10270464010
92805438442
101122134024
115264629a0
12273973148
1314b63053b
14a9060d84
15687a924e
hex42e26808

1122134024 has 64 divisors (see below), whose sum is σ = 2369122560. Its totient is φ = 493885440.

The previous prime is 1122134017. The next prime is 1122134029. The reversal of 1122134024 is 4204312211.

It is a junction number, because it is equal to n+sod(n) for n = 1122133987 and 1122134005.

It is not an unprimeable number, because it can be changed into a prime (1122134029) 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, 399794 + ... + 402590.

It is an arithmetic number, because the mean of its divisors is an integer number (37017540).

Almost surely, 21122134024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184561280).

1122134024 is an abundant number, since it is smaller than the sum of its proper divisors (1246988536).

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

1122134024 is a wasteful number, since it uses less digits than its factorization.

1122134024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1122134024 is about 33498.2689702020. The cubic root of 1122134024 is about 1039.1579796976.

Adding to 1122134024 its reverse (4204312211), we get a palindrome (5326446235).

The spelling of 1122134024 in words is "one billion, one hundred twenty-two million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 97 188 194 376 388 517 776 1034 1067 2068 2134 2797 4136 4268 4559 5594 8536 9118 11188 18236 22376 30767 36472 50149 61534 100298 123068 131459 200596 246136 262918 271309 401192 525836 542618 1051672 1085236 1446049 2170472 2892098 2984399 5784196 5968798 11568392 11937596 12751523 23875192 25503046 51006092 102012184 140266753 280533506 561067012 1122134024