Search a number
-
+
102023033130 = 23251791972559
BaseRepresentation
bin101111100000100001…
…0111111000100101010
3100202100011100001222200
41133001002333010222
53132420344030010
6114511351401030
710241140321164
oct1370102770452
9322304301880
10102023033130
113a2a4384907
1217933383176
13980b98c975
144d1b9d3934
1529c1b4bcc0
hex17c10bf12a

102023033130 has 96 divisors (see below), whose sum is σ = 281172902400. Its totient is φ = 25577565696.

The previous prime is 102023033069. The next prime is 102023033131. The reversal of 102023033130 is 31330320201.

102023033130 is a `hidden beast` number, since 102 + 0 + 230 + 331 + 3 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102023033131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369791 + ... + 1442349.

It is an arithmetic number, because the mean of its divisors is an integer number (2928884400).

Almost surely, 2102023033130 is an apocalyptic number.

102023033130 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 102023033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140586451200).

102023033130 is an abundant number, since it is smaller than the sum of its proper divisors (179149869270).

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

102023033130 is a wasteful number, since it uses less digits than its factorization.

102023033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73508 (or 73505 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102023033130 its reverse (31330320201), we get a palindrome (133353353331).

The spelling of 102023033130 in words is "one hundred two billion, twenty-three million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 919 1530 1838 2757 4595 5514 8271 9190 13785 15623 16542 27570 31246 41355 46869 72559 78115 82710 93738 140607 145118 156230 217677 234345 281214 362795 435354 468690 653031 703035 725590 1088385 1233503 1306062 1406070 2176770 2467006 3265155 3700509 6167515 6530310 7401018 11101527 12335030 18502545 22203054 37005090 55507635 66681721 111015270 133363442 200045163 333408605 400090326 600135489 666817210 1000225815 1133589257 1200270978 2000451630 2267178514 3000677445 3400767771 5667946285 6001354890 6801535542 10202303313 11335892570 17003838855 20404606626 34007677710 51011516565 102023033130