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101024440352 = 251119109138581
BaseRepresentation
bin101111000010110000…
…1101010000000100000
3100122202120022022012222
41132011201222000200
53123344224042402
6114224320210212
710204323401033
oct1360541520040
9318676268188
10101024440352
1139931732320
12176b4a69968
1396acb26174
144c6513101a
1529641477a2
hex178586a020

101024440352 has 96 divisors (see below), whose sum is σ = 230489582400. Its totient is φ = 43103923200.

The previous prime is 101024440313. The next prime is 101024440373. The reversal of 101024440352 is 253044420101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659702 + ... + 798282.

It is an arithmetic number, because the mean of its divisors is an integer number (2400933150).

Almost surely, 2101024440352 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 101024440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115244791200).

101024440352 is an abundant number, since it is smaller than the sum of its proper divisors (129465142048).

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

101024440352 is a wasteful number, since it uses less digits than its factorization.

101024440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138730 (or 138722 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 101024440352 its reverse (253044420101), we get a palindrome (354068860453).

The spelling of 101024440352 in words is "one hundred one billion, twenty-four million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 109 152 176 209 218 304 352 418 436 608 836 872 1199 1672 1744 2071 2398 3344 3488 4142 4796 6688 8284 9592 16568 19184 22781 33136 38368 45562 66272 91124 138581 182248 277162 364496 554324 728992 1108648 1524391 2217296 2633039 3048782 4434592 5266078 6097564 10532156 12195128 15105329 21064312 24390256 28963429 30210658 42128624 48780512 57926858 60421316 84257248 115853716 120842632 166158619 231707432 241685264 287001251 332317238 463414864 483370528 574002502 664634476 926829728 1148005004 1329268952 2296010008 2658537904 3157013761 4592020016 5317075808 6314027522 9184040032 12628055044 25256110088 50512220176 101024440352