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102021323010 = 23573304115319
BaseRepresentation
bin101111100000011110…
…0011101100100000010
3100202100001010012010220
41133000330131210002
53132414424314020
6114511251003510
710241116636335
oct1370074354402
9322301105126
10102021323010
113a2a3416a92
1217932899596
13980b511469
144d1b6aa61c
1529c1910240
hex17c0f1d902

102021323010 has 64 divisors (see below), whose sum is σ = 248303128320. Its totient is φ = 26822430720.

The previous prime is 102021322993. The next prime is 102021323017. The reversal of 102021323010 is 10323120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102021323017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6652131 + ... + 6667449.

It is an arithmetic number, because the mean of its divisors is an integer number (3879736380).

Almost surely, 2102021323010 is an apocalyptic number.

102021323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124151564160).

102021323010 is an abundant number, since it is smaller than the sum of its proper divisors (146281805310).

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

102021323010 is a wasteful number, since it uses less digits than its factorization.

102021323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18443.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102021323010 its reverse (10323120201), we get a palindrome (112344443211).

The spelling of 102021323010 in words is "one hundred two billion, twenty-one million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190 3041 6082 9123 15205 15319 18246 30410 30638 45615 45957 76595 91230 91914 153190 221993 229785 443986 459570 665979 1109965 1118287 1331958 2219930 2236574 3329895 3354861 5591435 6659790 6709722 11182870 16774305 33548610 46585079 93170158 139755237 232925395 279510474 465850790 698776185 1397552370 3400710767 6801421534 10202132301 17003553835 20404264602 34007107670 51010661505 102021323010