Search a number
-
+
2313130020030 = 2325103601415189
BaseRepresentation
bin100001101010010001010…
…010110000110010111110
322012010121000020000010100
4201222101102300302332
5300344242241120110
64530345352021530
7326055342521244
oct41522122606276
98163530200110
102313130020030
11811aa1658505
123143726918a6
1313a1866895ab
147dd55724794
1540283222bc0
hex21a914b0cbe

2313130020030 has 96 divisors (see below), whose sum is σ = 6082646431680. Its totient is φ = 609828134400.

The previous prime is 2313130020023. The next prime is 2313130020037. The reversal of 2313130020030 is 300200313132.

2313130020030 is a `hidden beast` number, since 2 + 3 + 131 + 300 + 200 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (2313130020023) and next prime (2313130020037).

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 = 2313130019985 and 2313130020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313130020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5363676 + ... + 5778864.

It is an arithmetic number, because the mean of its divisors is an integer number (63360900330).

Almost surely, 22313130020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313130020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041323215840).

2313130020030 is an abundant number, since it is smaller than the sum of its proper divisors (3769516411650).

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

2313130020030 is a wasteful number, since it uses less digits than its factorization.

2313130020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415906 (or 415903 counting only the distinct ones).

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

Adding to 2313130020030 its reverse (300200313132), we get a palindrome (2613330333162).

The spelling of 2313130020030 in words is "two trillion, three hundred thirteen billion, one hundred thirty million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 601 618 927 1030 1202 1545 1803 1854 3005 3090 3606 4635 5409 6010 9015 9270 10818 18030 27045 54090 61903 123806 185709 309515 371418 415189 557127 619030 830378 928545 1114254 1245567 1857090 2075945 2491134 2785635 3736701 4151890 5571270 6227835 7473402 12455670 18683505 37367010 42764467 85528934 128293401 213822335 249528589 256586802 384880203 427644670 499057178 641467005 748585767 769760406 1247642945 1282934010 1497171534 1924401015 2245757301 2495285890 3742928835 3848802030 4491514602 7485857670 11228786505 22457573010 25701444667 51402889334 77104334001 128507223335 154208668002 231313002003 257014446670 385521670005 462626004006 771043340010 1156565010015 2313130020030