Search a number
-
+
23103012223130 = 257223289128553
BaseRepresentation
bin1010100000011000101101…
…10101100011100010011010
310000210121220122101220200012
411100030112311203202122
511012004432112120010
6121045213255041522
74603065115516100
oct520142665434232
9100717818356605
1023103012223130
1173a7a29118714
1227116280702a2
13cb77b26c7308
1459c29827dc70
152a0e67ec0005
hex150316d6389a

23103012223130 has 72 divisors (see below), whose sum is σ = 50569580711412. Its totient is φ = 7576639948416.

The previous prime is 23103012223127. The next prime is 23103012223133. The reversal of 23103012223130 is 3132221030132.

It is an interprime number because it is at equal distance from previous prime (23103012223127) and next prime (23103012223133).

It can be written as a sum of positive squares in 2 ways, for example, as 22042283196241 + 1060729026889 = 4694921^2 + 1029917^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 23103012223096 and 23103012223105.

It is not an unprimeable number, because it can be changed into a prime (23103012223133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44305067 + ... + 44823486.

Almost surely, 223103012223130 is an apocalyptic number.

23103012223130 is an abundant number, since it is smaller than the sum of its proper divisors (27466568488282).

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

23103012223130 is a wasteful number, since it uses less digits than its factorization.

23103012223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89128620 (or 89128590 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 23103012223130 its reverse (3132221030132), we get a palindrome (26235233253262).

The spelling of 23103012223130 in words is "twenty-three trillion, one hundred three billion, twelve million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 490 529 805 1058 1127 1610 2254 2645 3703 5290 5635 7406 11270 18515 25921 37030 51842 129605 259210 89128553 178257106 445642765 623899871 891285530 1247799742 2049956719 3119499355 4099913438 4367299097 6238998710 8734598194 10249783595 14349697033 20499567190 21836495485 28699394066 43672990970 47149004537 71748485165 94298009074 100447879231 143496970330 200895758462 235745022685 330043031759 471490045370 502239396155 660086063518 1004478792310 1650215158795 2310301222313 3300430317590 4620602444626 11551506111565 23103012223130