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21133142232 = 23343101202751
BaseRepresentation
bin10011101011101000…
…100010100011011000
32000112210201212011120
4103223220202203120
5321240041022412
613413004325240
71345461513366
oct235350424330
960483655146
1021133142232
118a65120604
124119543820
131cba3908b7
1410469b0636
1583a49bb8c
hex4eba228d8

21133142232 has 64 divisors (see below), whose sum is σ = 54597058560. Its totient is φ = 6812400000.

The previous prime is 21133142231. The next prime is 21133142243. The reversal of 21133142232 is 23224133112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133142231) 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, 2857 + ... + 205607.

It is an arithmetic number, because the mean of its divisors is an integer number (853079040).

Almost surely, 221133142232 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 21133142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298529280).

21133142232 is an abundant number, since it is smaller than the sum of its proper divisors (33463916328).

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

21133142232 is a wasteful number, since it uses less digits than its factorization.

21133142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202904 (or 202900 counting only the distinct ones).

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

Adding to 21133142232 its reverse (23224133112), we get a palindrome (44357275344).

The spelling of 21133142232 in words is "twenty-one billion, one hundred thirty-three million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 101 129 172 202 258 303 344 404 516 606 808 1032 1212 2424 4343 8686 13029 17372 26058 34744 52116 104232 202751 405502 608253 811004 1216506 1622008 2433012 4866024 8718293 17436586 20477851 26154879 34873172 40955702 52309758 61433553 69746344 81911404 104619516 122867106 163822808 209239032 245734212 491468424 880547593 1761095186 2641642779 3522190372 5283285558 7044380744 10566571116 21133142232