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233143434132 = 223721912075929
BaseRepresentation
bin1101100100100001101…
…1100111101110010100
3211021210011111120211220
43121020123213232110
512304434204343012
6255034332530340
722562340330600
oct3311033475624
9737704446756
10233143434132
118a96a432884
12392273209b0
1318ca6a08c6b
14b3d9bcc500
1560e802608c
hex36486e7b94

233143434132 has 72 divisors (see below), whose sum is σ = 636131381760. Its totient is φ = 66263621760.

The previous prime is 233143434091. The next prime is 233143434149. The reversal of 233143434132 is 231434341332.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 233143434093 and 233143434102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925657 + ... + 1150272.

It is an arithmetic number, because the mean of its divisors is an integer number (8835158080).

Almost surely, 2233143434132 is an apocalyptic number.

It is an amenable number.

233143434132 is an abundant number, since it is smaller than the sum of its proper divisors (402987947628).

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

233143434132 is a wasteful number, since it uses less digits than its factorization.

233143434132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076141 (or 2076132 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 233143434132 its reverse (231434341332), we get a palindrome (464577775464).

The spelling of 233143434132 in words is "two hundred thirty-three billion, one hundred forty-three million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 764 1146 1337 2292 2674 4011 5348 8022 9359 16044 18718 28077 37436 56154 112308 2075929 4151858 6227787 8303716 12455574 14531503 24911148 29063006 43594509 58126012 87189018 101720521 174378036 203441042 305161563 396502439 406882084 610323126 793004878 1189507317 1220646252 1586009756 2379014634 2775517073 4758029268 5551034146 8326551219 11102068292 16653102438 19428619511 33306204876 38857239022 58285858533 77714478044 116571717066 233143434132