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101432434434232 = 23114783643459523
BaseRepresentation
bin10111000100000010010100…
…001110010010000010111000
3111022010211211202102022002111
4113010002110032102002320
5101243332111203343412
6555421230031542104
730236152166012116
oct2704022416220270
9438124752368074
10101432434434232
112a357287999a10
12b46235108a934
13447a064598c25
141b094daccaab6
15bad7551322a7
hex5c40943920b8

101432434434232 has 128 divisors (see below), whose sum is σ = 214776665026560. Its totient is φ = 44511580149120.

The previous prime is 101432434434223. The next prime is 101432434434239. The reversal of 101432434434232 is 232434434234101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101432434434239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220504423 + ... + 220963945.

It is an arithmetic number, because the mean of its divisors is an integer number (1677942695520).

Almost surely, 2101432434434232 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 101432434434232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107388332513280).

101432434434232 is an abundant number, since it is smaller than the sum of its proper divisors (113344230592328).

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

101432434434232 is a wasteful number, since it uses less digits than its factorization.

101432434434232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460313 (or 460309 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 101432434434232 its reverse (232434434234101), we get a palindrome (333866868668333).

The spelling of 101432434434232 in words is "one hundred one trillion, four hundred thirty-two billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 47 83 88 94 166 188 332 376 517 643 664 913 1034 1286 1826 2068 2572 3652 3901 4136 5144 7073 7304 7802 14146 15604 28292 30221 31208 42911 53369 56584 60442 85822 106738 120884 171644 213476 241768 332431 343288 426952 459523 587059 664862 919046 1174118 1329724 1838092 2348236 2508343 2659448 3676184 4696472 5016686 5054753 10033372 10109506 20066744 20219012 21597581 27591773 38140409 40438024 43195162 55183546 76280818 86390324 110367092 152561636 172780648 220734184 237573391 295473289 305123272 419544499 475146782 590946578 839088998 950293564 1181893156 1678177996 1792599223 1900587128 2363786312 3250206179 3356355992 3585198446 6500412358 7170396892 13000824716 13887244583 14340793784 19718591453 24524282987 26001649432 27774489166 39437182906 49048565974 55548978332 78874365812 98097131948 111097956664 152759690413 157748731624 196194263896 269767112857 305519380826 539534225714 611038761652 1079068451428 1152641300389 1222077523304 2158136902856 2305282600778 4610565201556 9221130403112 12679054304279 25358108608558 50716217217116 101432434434232