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102111023124 = 2232111782718341
BaseRepresentation
bin101111100011001001…
…0101001000000010100
3100202120021220102120100
41133012102221000110
53133110410214444
6114524213334100
710243256242605
oct1370622510024
9322507812510
10102111023124
113a33a013010
1217958937330
139823c89a56
144d29579dac
1529c972ce69
hex17c64a9014

102111023124 has 144 divisors (see below), whose sum is σ = 298519131456. Its totient is φ = 29085772800.

The previous prime is 102111023117. The next prime is 102111023197. The reversal of 102111023124 is 421320111201.

It is a super-2 number, since 2×1021110231242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111023097 and 102111023106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5558194 + ... + 5576534.

It is an arithmetic number, because the mean of its divisors is an integer number (2073049524).

Almost surely, 2102111023124 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 102111023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149259565728).

102111023124 is an abundant number, since it is smaller than the sum of its proper divisors (196408108332).

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

102111023124 is a wasteful number, since it uses less digits than its factorization.

102111023124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19206 (or 19201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102111023124 its reverse (421320111201), we get a palindrome (523431134325).

The spelling of 102111023124 in words is "one hundred two billion, one hundred eleven million, twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 827 1122 1654 1683 2244 2481 3308 3366 4962 6732 7443 9097 9924 14059 14886 18194 18341 27291 28118 29772 36388 36682 42177 54582 55023 56236 73364 81873 84354 109164 110046 126531 154649 163746 165069 168708 201751 220092 253062 309298 311797 327492 330138 403502 463947 506124 605253 618596 623594 660276 807004 927894 935391 1210506 1247188 1391841 1815759 1855788 1870782 2421012 2783682 2806173 3429767 3631518 3741564 5567364 5612346 6859534 7263036 10289301 11224692 13719068 15168007 20578602 30336014 30867903 41157204 45504021 60672028 61735806 91008042 123471612 136512063 166848077 182016084 257856119 273024126 333696154 500544231 515712238 546048252 667392308 773568357 1001088462 1031424476 1501632693 1547136714 2002176924 2320705071 2836417309 3003265386 3094273428 4641410142 5672834618 6006530772 8509251927 9282820284 11345669236 17018503854 25527755781 34037007708 51055511562 102111023124