Search a number
-
+
23210115552140 = 225111945712150239
BaseRepresentation
bin1010100011100000001101…
…01100010101001110001100
310001011212100212012202110112
411101300012230111032030
511020233304040132030
6121210325131055152
74613606205012446
oct521600654251614
9101155325182415
1023210115552140
11743939a162a60
12272a3388a14b8
13cc4920a4a7ca
145a3538877496
152a3b35b34a95
hex151c06b1538c

23210115552140 has 96 divisors (see below), whose sum is σ = 56093283993600. Its totient is φ = 7978332280320.

The previous prime is 23210115552133. The next prime is 23210115552149. The reversal of 23210115552140 is 4125551101232.

It is a junction number, because it is equal to n+sod(n) for n = 23210115552097 and 23210115552106.

It is not an unprimeable number, because it can be changed into a prime (23210115552149) 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 31 ways as a sum of consecutive naturals, for example, 4164860 + ... + 7985379.

It is an arithmetic number, because the mean of its divisors is an integer number (584305041600).

Almost surely, 223210115552140 is an apocalyptic number.

23210115552140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210115552140 is an abundant number, since it is smaller than the sum of its proper divisors (32883168441460).

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

23210115552140 is a wasteful number, since it uses less digits than its factorization.

23210115552140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150735 (or 12150733 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 23210115552140 its reverse (4125551101232), we get a palindrome (27335666653372).

The spelling of 23210115552140 in words is "twenty-three trillion, two hundred ten billion, one hundred fifteen million, five hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 457 836 914 1045 1828 2090 2285 4180 4570 5027 8683 9140 10054 17366 20108 25135 34732 43415 50270 86830 95513 100540 173660 191026 382052 477565 955130 1910260 12150239 24300478 48600956 60751195 121502390 133652629 230854541 243004780 267305258 461709082 534610516 668263145 923418164 1154272705 1336526290 2308545410 2539399951 2673052580 4617090820 5078799902 5552659223 10157599804 11105318446 12696999755 22210636892 25393999510 27763296115 50787999020 55526592230 61079251453 105500525237 111053184460 122158502906 211001050474 244317005812 305396257265 422002100948 527502626185 610792514530 1055005252370 1160505777607 1221585029060 2110010504740 2321011555214 4642023110428 5802528888035 11605057776070 23210115552140