Search a number
-
+
23120323115310 = 2335373487471403
BaseRepresentation
bin1010100000111000111101…
…01001010111100100101110
310000212021121001220100111000
411100130132221113210232
511012300410204142220
6121101155123341130
74604250105623361
oct520343651274456
9100767531810430
1023120323115310
117404301720183
122714a595217a6
13cb9310c30195
1459d05b36a0d8
152a162cb08390
hex15071ea5792e

23120323115310 has 128 divisors (see below), whose sum is σ = 61946558530560. Its totient is φ = 6136251147648.

The previous prime is 23120323115291. The next prime is 23120323115399. The reversal of 23120323115310 is 1351132302132.

23120323115310 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 0 + 32 + 311 + 5 + 310 = 666.

It is a super-2 number, since 2×231203231153102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48810069 + ... + 49281471.

It is an arithmetic number, because the mean of its divisors is an integer number (483957488520).

Almost surely, 223120323115310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120323115310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30973279265280).

23120323115310 is an abundant number, since it is smaller than the sum of its proper divisors (38826235415250).

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

23120323115310 is a wasteful number, since it uses less digits than its factorization.

23120323115310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472279 (or 472273 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 23120323115310 its reverse (1351132302132), we get a palindrome (24471455417442).

The spelling of 23120323115310 in words is "twenty-three trillion, one hundred twenty billion, three hundred twenty-three million, one hundred fifteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 373 487 746 974 1119 1461 1865 2238 2435 2922 3357 3730 4383 4870 5595 6714 7305 8766 10071 11190 13149 14610 16785 20142 21915 26298 33570 43830 50355 65745 100710 131490 181651 363302 471403 544953 908255 942806 1089906 1414209 1634859 1816510 2357015 2724765 2828418 3269718 4242627 4714030 4904577 5449530 7071045 8174295 8485254 9809154 12727881 14142090 16348590 21213135 24522885 25455762 42426270 49045770 63639405 127278810 175833319 229573261 351666638 459146522 527499957 688719783 879166595 1054999914 1147866305 1377439566 1582499871 1758333190 2066159349 2295732610 2637499785 3164999742 3443598915 4132318698 4747499613 5274999570 6198478047 6887197830 7912499355 9494999226 10330796745 12396956094 15824998710 20661593490 23737498065 30992390235 47474996130 61984780470 85630826353 171261652706 256892479059 428154131765 513784958118 770677437177 856308263530 1284462395295 1541354874354 2312032311531 2568924790590 3853387185885 4624064623062 7706774371770 11560161557655 23120323115310