Search a number
-
+
102012132211020 = 22325566734067839
BaseRepresentation
bin10111001100011110001100…
…111001110011100101001100
3111101012021010220001120000200
4113030132030321303211030
5101332331321321223040
61000543420535053500
730326063506554033
oct2714361471634514
9441167126046020
10102012132211020
112a560114200739
12b536774811290
1344bc91a052ab5
141b295b0a9771a
15bbd882936630
hex5cc78ce7394c

102012132211020 has 36 divisors (see below), whose sum is σ = 309436801040640. Its totient is φ = 27203235256224.

The previous prime is 102012132210917. The next prime is 102012132211043. The reversal of 102012132211020 is 20112231210201.

102012132211020 is a `hidden beast` number, since 1 + 0 + 201 + 213 + 221 + 10 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 102012132210984 and 102012132211002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283367033740 + ... + 283367034099.

Almost surely, 2102012132211020 is an apocalyptic number.

102012132211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012132211020 is an abundant number, since it is smaller than the sum of its proper divisors (207424668829620).

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

102012132211020 is a wasteful number, since it uses less digits than its factorization.

102012132211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566734067854 (or 566734067849 counting only the distinct ones).

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

Adding to 102012132211020 its reverse (20112231210201), we get a palindrome (122124363421221).

The spelling of 102012132211020 in words is "one hundred two trillion, twelve billion, one hundred thirty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 566734067839 1133468135678 1700202203517 2266936271356 2833670339195 3400404407034 5100606610551 5667340678390 6800808814068 8501011017585 10201213221102 11334681356780 17002022035170 20402426442204 25503033052755 34004044070340 51006066105510 102012132211020