Search a number
-
+
23440422100051 = 113728397397487
BaseRepresentation
bin1010101010001101001100…
…00010000101110001010011
310001222212211022121121000101
411111012212002011301103
511033021441024200201
6121504214203433231
74636341340246135
oct525064602056123
9101885738547011
1023440422100051
117518033204170
122766ab1b25817
131010564ab3068
145b074599d055
152a9b14a86d01
hex1551a6085c53

23440422100051 has 96 divisors (see below), whose sum is σ = 26995016627712. Its totient is φ = 20179981578240.

The previous prime is 23440422100027. The next prime is 23440422100087. The reversal of 23440422100051 is 15000122404432.

It is not a de Polignac number, because 23440422100051 - 243 = 14644329077843 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23440422099992 and 23440422100019.

It is not an unprimeable number, because it can be changed into a prime (23440422100951) 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 95 ways as a sum of consecutive naturals, for example, 48132283330 + ... + 48132283816.

It is an arithmetic number, because the mean of its divisors is an integer number (281198089872).

Almost surely, 223440422100051 is an apocalyptic number.

23440422100051 is a deficient number, since it is larger than the sum of its proper divisors (3554594527661).

23440422100051 is a wasteful number, since it uses less digits than its factorization.

23440422100051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 23440422100051 its reverse (15000122404432), we get a palindrome (38440544504483).

The spelling of 23440422100051 in words is "twenty-three trillion, four hundred forty billion, four hundred twenty-two million, one hundred thousand, fifty-one".

Divisors: 1 11 37 83 97 397 407 487 913 1067 1369 3071 3589 4367 5357 8051 14689 15059 18019 32951 33781 38509 39479 40421 47239 88561 113627 132793 161579 193339 198209 297887 362461 423599 444631 519629 543493 666703 1219187 1249897 1424833 1460723 1495577 1747843 2126729 3196247 3276757 3920837 5978423 7153543 7333733 11021819 13411057 15673163 16047137 16451347 18753883 19226273 35158717 43129207 45109919 52718821 55336349 64670191 78688973 118261139 121240009 145070969 176518507 206292713 264681091 496209109 579907031 593744069 608699839 693893671 711372101 1300872529 1556572289 1595780659 2911492001 4375662143 5367625853 6531184759 7632830381 17122295179 21968530553 25674065827 48132283573 57593174693 59043884383 241653836083 282414724097 633524921623 2130947463641 23440422100051