Search a number
-
+
10434221130 = 2359719118773
BaseRepresentation
bin10011011011110110…
…11001010001001010
3222221011211100112110
421231323121101022
5132332130034010
64443213323150
7516366262524
oct115573312112
928834740473
1010434221130
114474933853
1220324964b6
13ca3951158
1470dab4a14
15411081120
hex26ded944a

10434221130 has 64 divisors (see below), whose sum is σ = 25434114048. Its totient is φ = 2739210240.

The previous prime is 10434221117. The next prime is 10434221143. The reversal of 10434221130 is 3112243401.

It is an interprime number because it is at equal distance from previous prime (10434221117) and next prime (10434221143).

It is a super-3 number, since 3×104342211303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10434221097 and 10434221106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546424 + ... + 565196.

It is an arithmetic number, because the mean of its divisors is an integer number (397408032).

Almost surely, 210434221130 is an apocalyptic number.

10434221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434221130 is an abundant number, since it is smaller than the sum of its proper divisors (14999892918).

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

10434221130 is a wasteful number, since it uses less digits than its factorization.

10434221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19071.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10434221130 its reverse (3112243401), we get a palindrome (13546464531).

The spelling of 10434221130 in words is "ten billion, four hundred thirty-four million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 97 191 194 291 382 485 573 582 955 970 1146 1455 1910 2865 2910 5730 18527 18773 37054 37546 55581 56319 92635 93865 111162 112638 185270 187730 277905 281595 555810 563190 1820981 3585643 3641962 5462943 7171286 9104905 10756929 10925886 17928215 18209810 21513858 27314715 35856430 53784645 54629430 107569290 347807371 695614742 1043422113 1739036855 2086844226 3478073710 5217110565 10434221130