Search a number
-
+
1022130232134 = 231153404972167
BaseRepresentation
bin11101101111110111011…
…01011001101101000110
310121201022000100200212020
432313323231121231012
5113221310314412014
62101320554104010
7133563224423154
oct16677355315506
93551260320766
101022130232134
11364534961940
1214611941b006
13755040b7b5b
14376856083d4
151b8c451c1a9
hexedfbb59b46

1022130232134 has 64 divisors (see below), whose sum is σ = 2272772390400. Its totient is φ = 303813086720.

The previous prime is 1022130232049. The next prime is 1022130232213. The reversal of 1022130232134 is 4312320312201.

It is a super-2 number, since 2×10221302321342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14127319 + ... + 14199485.

It is an arithmetic number, because the mean of its divisors is an integer number (35512068600).

Almost surely, 21022130232134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022130232134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136386195200).

1022130232134 is an abundant number, since it is smaller than the sum of its proper divisors (1250642158266).

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

1022130232134 is a wasteful number, since it uses less digits than its factorization.

1022130232134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76285.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1022130232134 its reverse (4312320312201), we get a palindrome (5334450544335).

The spelling of 1022130232134 in words is "one trillion, twenty-two billion, one hundred thirty million, two hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 3498 4049 8098 12147 24294 44539 72167 89078 133617 144334 214597 216501 267234 429194 433002 643791 793837 1287582 1587674 2360567 2381511 3824851 4721134 4763022 7081701 7649702 11474553 14163402 22949106 42073361 84146722 126220083 252440166 292204183 584408366 876612549 1753225098 3214246013 6428492026 9642738039 15486821699 19285476078 30973643398 46460465097 92920930194 170355038689 340710077378 511065116067 1022130232134