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102043188 = 223213377183
BaseRepresentation
bin1100001010100…
…00111000110100
321010000022221100
412011100320310
5202110340223
614043050100
72346232002
oct605207064
9233008840
10102043188
1152667615
122a210930
13181aa7b0
14d7a3a72
158e5a043
hex6150e34

102043188 has 144 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 29756160.

The previous prime is 102043159. The next prime is 102043213. The reversal of 102043188 is 881340201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229395 + ... + 1229477.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2102043188 is an apocalyptic number.

102043188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102043188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

102043188 is an abundant number, since it is smaller than the sum of its proper divisors (190752588).

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

102043188 is a wasteful number, since it uses less digits than its factorization.

102043188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102043188 is about 10101.6428366875. The cubic root of 102043188 is about 467.2988074956.

Adding to 102043188 its reverse (881340201), we get a palindrome (983383389).

The spelling of 102043188 in words is "one hundred two million, forty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 71 74 78 83 111 117 142 148 156 166 213 222 234 249 284 332 333 426 444 468 481 498 639 666 747 852 923 962 996 1079 1278 1332 1443 1494 1846 1924 2158 2556 2627 2769 2886 2988 3071 3237 3692 4316 4329 5254 5538 5772 5893 6142 6474 7881 8307 8658 9213 9711 10508 11076 11786 12284 12948 15762 16614 17316 17679 18426 19422 23572 23643 27639 31524 33228 34151 35358 36852 38844 39923 47286 53037 55278 68302 70716 76609 79846 94572 102453 106074 110556 119769 136604 153218 159692 204906 212148 218041 229827 239538 306436 307359 359307 409812 436082 459654 479076 614718 654123 689481 718614 872164 919308 1229436 1308246 1378962 1437228 1962369 2616492 2757924 2834533 3924738 5669066 7849476 8503599 11338132 17007198 25510797 34014396 51021594 102043188