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10422434130 = 23523120112577
BaseRepresentation
bin10011011010011100…
…11011100101010010
3222220100122111210220
421231032123211102
5132321120343010
64442112533510
7516164141223
oct115516334522
928810574726
1010422434130
114469213029
12202a551296
13ca13850b4
1470c2c724a
15410003970
hex26d39b952

10422434130 has 64 divisors (see below), whose sum is σ = 26125210368. Its totient is φ = 2656051200.

The previous prime is 10422434119. The next prime is 10422434201. The reversal of 10422434130 is 3143422401.

It is a self number, because there is not a number n which added to its sum of digits gives 10422434130.

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, 822402 + ... + 834978.

It is an arithmetic number, because the mean of its divisors is an integer number (408206412).

Almost surely, 210422434130 is an apocalyptic number.

10422434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062605184).

10422434130 is an abundant number, since it is smaller than the sum of its proper divisors (15702776238).

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

10422434130 is a wasteful number, since it uses less digits than its factorization.

10422434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13811.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10422434130 its reverse (3143422401), we get a palindrome (13565856531).

The spelling of 10422434130 in words is "ten billion, four hundred twenty-two million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1201 2402 3603 6005 7206 12010 12577 18015 25154 27623 36030 37731 55246 62885 75462 82869 125770 138115 165738 188655 276230 289271 377310 414345 578542 828690 867813 1446355 1735626 2892710 4339065 8678130 15104977 30209954 45314931 75524885 90629862 151049770 226574655 347414471 453149310 694828942 1042243413 1737072355 2084486826 3474144710 5211217065 10422434130