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106213253224 = 23139715676719
BaseRepresentation
bin110001011101011001…
…1011010000001101000
3101011011011222022100111
41202322303122001220
53220011043100344
6120443234344104
710450030520251
oct1427263320150
9334134868314
10106213253224
1141054681221
121870272b034
13a028b23040
1451d8301b28
152b69948834
hex18bacda068

106213253224 has 64 divisors (see below), whose sum is σ = 216850636800. Its totient is φ = 48477947904.

The previous prime is 106213253219. The next prime is 106213253239. The reversal of 106213253224 is 422352312601.

It is a super-2 number, since 2×1062132532242 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15804537 + ... + 15811255.

It is an arithmetic number, because the mean of its divisors is an integer number (3388291200).

Almost surely, 2106213253224 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 106213253224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108425318400).

106213253224 is an abundant number, since it is smaller than the sum of its proper divisors (110637383576).

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

106213253224 is a wasteful number, since it uses less digits than its factorization.

106213253224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 106213253224 its reverse (422352312601), we get a palindrome (528565565825).

The spelling of 106213253224 in words is "one hundred six billion, two hundred thirteen million, two hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 1567 2522 3134 5044 6268 6719 10088 12536 13438 20371 26876 40742 53752 81484 87347 151999 162968 174694 303998 349388 607996 651743 698776 1215992 1303486 1975987 2606972 3951974 5213944 7903948 8472659 10528673 15807896 16945318 21057346 33890636 42114692 67781272 84229384 136872749 273745498 547490996 1021281281 1094981992 2042562562 4085125124 8170250248 13276656653 26553313306 53106626612 106213253224