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1010223134232 = 2331315122396157
BaseRepresentation
bin11101011001101011111…
…11011011011000011000
310120120120012001110020020
432230311333123120120
5113022414110243412
62052031243430440
7132662161650054
oct16546577333030
93516505043206
101010223134232
1135a484693a64
12143955825420
13743572801b0
1436c76090c64
151b428eed18c
hexeb35fdb618

1010223134232 has 128 divisors (see below), whose sum is σ = 2750149570560. Its totient is φ = 307391500800.

The previous prime is 1010223134201. The next prime is 1010223134243. The reversal of 1010223134232 is 2324313220101.

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

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, 10457898 + ... + 10554054.

It is an arithmetic number, because the mean of its divisors is an integer number (21485543520).

Almost surely, 21010223134232 is an apocalyptic number.

1010223134232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010223134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375074785280).

1010223134232 is an abundant number, since it is smaller than the sum of its proper divisors (1739926436328).

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

1010223134232 is a wasteful number, since it uses less digits than its factorization.

1010223134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96553 (or 96549 counting only the distinct ones).

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

Adding to 1010223134232 its reverse (2324313220101), we get a palindrome (3334536354333).

The spelling of 1010223134232 in words is "one trillion, ten billion, two hundred twenty-three million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 223 302 312 446 453 604 669 892 906 1208 1338 1784 1812 1963 2676 2899 3624 3926 5352 5798 5889 7852 8697 11596 11778 15704 17394 23192 23556 33673 34788 47112 67346 69576 96157 101019 134692 192314 202038 269384 288471 384628 404076 437749 576942 769256 808152 875498 1153884 1250041 1313247 1750996 2307768 2500082 2626494 3501992 3750123 5000164 5252988 7500246 10000328 10505976 14519707 15000492 21443011 29039414 30000984 42886022 43559121 58078828 64329033 85772044 87118242 116157656 128658066 171544088 174236484 188756191 257316132 278759143 348472968 377512382 514632264 557518286 566268573 755024764 836277429 1115036572 1132537146 1510049528 1672554858 2230073144 2265074292 3237894661 3345109716 4530148584 6475789322 6690219432 9713683983 12951578644 19427367966 25903157288 38854735932 42092630593 77709471864 84185261186 126277891779 168370522372 252555783558 336741044744 505111567116 1010223134232