Search a number
-
+
102112022312130 = 23531310874549767
BaseRepresentation
bin10111001101111011001110…
…110100010011010011000010
3111101112210222101220110100010
4113031323032310103103002
5101341000410202442010
61001101340534405350
730336231050451435
oct2715731664232302
9441483871813303
10102112022312130
112a5995135a4106
12b551bb1800856
1344c9178b641bc
141b303692ab81c
15bc127c1b3620
hex5cdeced134c2

102112022312130 has 32 divisors (see below), whose sum is σ = 245851821154944. Its totient is φ = 27142876215936.

The previous prime is 102112022312119. The next prime is 102112022312137. The reversal of 102112022312130 is 31213220211201.

It is a super-2 number, since 2×1021120223121302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112022312097 and 102112022312106.

It is not an unprimeable number, because it can be changed into a prime (102112022312137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5437265494 + ... + 5437284273.

It is an arithmetic number, because the mean of its divisors is an integer number (7682869411092).

Almost surely, 2102112022312130 is an apocalyptic number.

102112022312130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112022312130 is an abundant number, since it is smaller than the sum of its proper divisors (143739798842814).

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

102112022312130 is a wasteful number, since it uses less digits than its factorization.

102112022312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874550090.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102112022312130 its reverse (31213220211201), we get a palindrome (133325242523331).

The spelling of 102112022312130 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 313 626 939 1565 1878 3130 4695 9390 10874549767 21749099534 32623649301 54372748835 65247298602 108745497670 163118246505 326236493010 3403734077071 6807468154142 10211202231213 17018670385355 20422404462426 34037340770710 51056011156065 102112022312130