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101422140433024 = 2716331795316091
BaseRepresentation
bin10111000011111000101110…
…101001110010001010000000
3111022002212021100102212010111
4113003320232221302022000
5101243200020422324044
6555412404343441104
730235336121313565
oct2703705651621200
9438085240385114
10101422140433024
112a3529852284a4
12b460359756194
1344790b3a01258
141b08c01ab686c
15bad35154cb34
hex5c3e2ea72280

101422140433024 has 128 divisors (see below), whose sum is σ = 204159478207680. Its totient is φ = 50185131171840.

The previous prime is 101422140433021. The next prime is 101422140433079. The reversal of 101422140433024 is 420334041224101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (101422140433021) 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, 6303027219 + ... + 6303043309.

Almost surely, 2101422140433024 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 101422140433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102079739103840).

101422140433024 is an abundant number, since it is smaller than the sum of its proper divisors (102737337774656).

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

101422140433024 is a wasteful number, since it uses less digits than its factorization.

101422140433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17538 (or 17526 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 101422140433024 its reverse (420334041224101), we get a palindrome (521756181657125).

The spelling of 101422140433024 in words is "one hundred one trillion, four hundred twenty-two billion, one hundred forty million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 163 317 326 634 652 953 1268 1304 1906 2536 2608 3812 5072 5216 7624 10144 10432 15248 16091 20288 20864 30496 32182 40576 51671 60992 64364 103342 121984 128728 155339 206684 257456 302101 310678 413368 514912 604202 621356 826736 1029824 1208404 1242712 1653472 2059648 2416808 2485424 2622833 3306944 4833616 4970848 5100847 5245666 6613888 9667232 9941696 10201694 10491332 15334723 19334464 19883392 20403388 20982664 30669446 38668928 40806776 41965328 49242463 61338892 81613552 83930656 98484926 122677784 163227104 167861312 196969852 245355568 326454208 335722624 393939704 490711136 652908416 787879408 831438061 981422272 1575758816 1662876122 1962844544 2499559849 3151517632 3325752244 4861107191 4999119698 6303035264 6651504488 9722214382 9998239396 13303008976 19444428764 19996478792 26606017952 38888857528 39992957584 53212035904 77777715056 79985915168 106424071808 155555430112 159971830336 311110860224 319943660672 622221720448 792360472133 1584720944266 3169441888532 6338883777064 12677767554128 25355535108256 50711070216512 101422140433024