Search a number
-
+
10022310413120 = 265171842336473
BaseRepresentation
bin1001000111011000000001…
…0000001000001101000000
31022111010100001012200001102
42101312000100020031000
52303201142431204440
633152104050353532
72053042123622435
oct221660020101500
938433301180042
1010022310413120
11321448aa46675
12115a48358b8a8
1357913b3b2bc5
142691221d3b8c
15125a8393ab15
hex91d80408340

10022310413120 has 56 divisors (see below), whose sum is σ = 25269487077384. Its totient is φ = 3773105094656.

The previous prime is 10022310413119. The next prime is 10022310413147. The reversal of 10022310413120 is 2131401322001.

It can be written as a sum of positive squares in 4 ways, for example, as 2482717040896 + 7539593372224 = 1575664^2 + 2745832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10022310413092 and 10022310413101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921162797 + ... + 921173676.

Almost surely, 210022310413120 is an apocalyptic number.

10022310413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022310413120 is an abundant number, since it is smaller than the sum of its proper divisors (15247176664264).

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

10022310413120 is a wasteful number, since it uses less digits than its factorization.

10022310413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842336507 (or 1842336497 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10022310413120 its reverse (2131401322001), we get a palindrome (12153711735121).

The spelling of 10022310413120 in words is "ten trillion, twenty-two billion, three hundred ten million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 1842336473 3684672946 7369345892 9211682365 14738691784 18423364730 29477383568 31319720041 36846729460 58954767136 62639440082 73693458920 117909534272 125278880164 147386917840 156598600205 250557760328 294773835680 313197200410 501115520656 589547671360 626394400820 1002231041312 1252788801640 2004462082624 2505577603280 5011155206560 10022310413120