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101233023232 = 2811173207799
BaseRepresentation
bin101111001000111110…
…1010101100100000000
3100200022002210102010211
41132101331111210000
53124311123220412
6114301131003504
710212435333265
oct1362175254400
9320262712124
10101233023232
1139a29447770
1217752899594
1397140c6ca3
144c84b0926c
1529775e9ca7
hex1791f55900

101233023232 has 72 divisors (see below), whose sum is σ = 221715950400. Its totient is φ = 45748807680.

The previous prime is 101233023191. The next prime is 101233023253. The reversal of 101233023232 is 232320332101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 383269 + ... + 591067.

It is an arithmetic number, because the mean of its divisors is an integer number (3079388200).

Almost surely, 2101233023232 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 101233023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110857975200).

101233023232 is an abundant number, since it is smaller than the sum of its proper divisors (120482927168).

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

101233023232 is a wasteful number, since it uses less digits than its factorization.

101233023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207999 (or 207985 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 101233023232 its reverse (232320332101), we get a palindrome (333553355333).

The spelling of 101233023232 in words is "one hundred one billion, two hundred thirty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 256 346 352 692 704 1384 1408 1903 2768 2816 3806 5536 7612 11072 15224 22144 30448 44288 60896 121792 207799 243584 415598 487168 831196 1662392 2285789 3324784 4571578 6649568 9143156 13299136 18286312 26598272 35949227 36572624 53196544 71898454 73145248 143796908 146290496 287593816 292580992 395441497 575187632 585161984 790882994 1150375264 1581765988 2300750528 3163531976 4601501056 6327063952 9203002112 12654127904 25308255808 50616511616 101233023232