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106222289124 = 223719292295011
BaseRepresentation
bin110001011101101010…
…1111000000011100100
3101011011210222101021110
41202323111320003210
53220020401222444
6120444200145020
710450200363060
oct1427325700344
9334153871243
10106222289124
1141059793006
1218705768170
13a02a967b23
1451d95b4aa0
152b6a630cb9
hex18bb5780e4

106222289124 has 96 divisors (see below), whose sum is σ = 308449612800. Its totient is φ = 27760440960.

The previous prime is 106222289119. The next prime is 106222289137. The reversal of 106222289124 is 421982222601.

It is a happy number.

It is a super-2 number, since 2×1062222891242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101222 + ... + 1193789.

It is an arithmetic number, because the mean of its divisors is an integer number (3213016800).

Almost surely, 2106222289124 is an apocalyptic number.

106222289124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106222289124 is an abundant number, since it is smaller than the sum of its proper divisors (202227323676).

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

106222289124 is a wasteful number, since it uses less digits than its factorization.

106222289124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295073 (or 2295071 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 106222289124 in words is "one hundred six billion, two hundred twenty-two million, two hundred eighty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 532 551 609 798 812 1102 1218 1596 1653 2204 2436 3306 3857 6612 7714 11571 15428 23142 46284 2295011 4590022 6885033 9180044 13770066 16065077 27540132 32130154 43605209 48195231 64260308 66555319 87210418 96390462 130815627 133110638 174420836 192780924 199665957 261631254 266221276 305236463 399331914 465887233 523262508 610472926 798663828 915709389 931774466 1220945852 1264551061 1397661699 1831418778 1863548932 2529102122 2795323398 3662837556 3793653183 5058204244 5590646796 7587306366 8851857427 15174612732 17703714854 26555572281 35407429708 53111144562 106222289124