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102021301332 = 223329167195053
BaseRepresentation
bin101111100000011110…
…0011000010001010100
3100202100001002002102000
41133000330120101110
53132414423120312
6114511250315300
710241116516206
oct1370074302124
9322301062360
10102021301332
113a2a3401775
1217932888b30
13980b504632
144d1b6a2776
1529c1908adc
hex17c0f18454

102021301332 has 96 divisors (see below), whose sum is σ = 275260204800. Its totient is φ = 32637661056.

The previous prime is 102021301331. The next prime is 102021301367. The reversal of 102021301332 is 233103120201.

102021301332 is a `hidden beast` number, since 1 + 0 + 202 + 130 + 1 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021301331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425518 + ... + 620570.

It is an arithmetic number, because the mean of its divisors is an integer number (2867293800).

Almost surely, 2102021301332 is an apocalyptic number.

102021301332 is a gapful number since it is divisible by the number (12) 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 102021301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137630102400).

102021301332 is an abundant number, since it is smaller than the sum of its proper divisors (173238903468).

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

102021301332 is a wasteful number, since it uses less digits than its factorization.

102021301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195262 (or 195254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102021301332 its reverse (233103120201), we get a palindrome (335124421533).

The spelling of 102021301332 in words is "one hundred two billion, twenty-one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 167 174 261 334 348 501 522 668 783 1002 1044 1503 1566 2004 3006 3132 4509 4843 6012 9018 9686 14529 18036 19372 29058 43587 58116 87174 130761 174348 195053 261522 390106 523044 585159 780212 1170318 1755477 2340636 3510954 5266431 5656537 7021908 10532862 11313074 16969611 21065724 22626148 32573851 33939222 50908833 65147702 67878444 97721553 101817666 130295404 152726499 195443106 203635332 293164659 305452998 390886212 586329318 610905996 879493977 944641679 1172658636 1758987954 1889283358 2833925037 3517975908 3778566716 5667850074 8501775111 11335700148 17003550222 25505325333 34007100444 51010650666 102021301332