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10422134000 = 245321124697
BaseRepresentation
bin10011011010011010…
…10010010011110000
3222220100002021002222
421231031102103300
5132321031242000
64442102300212
7516161451215
oct115515222360
928810067088
1010422134000
114469028593
12202a427668
13ca12ab5c5
1470c249b0c
1540ee94a85
hex26d3524f0

10422134000 has 80 divisors (see below), whose sum is σ = 25321179936. Its totient is φ = 4148928000.

The previous prime is 10422133991. The next prime is 10422134029. The reversal of 10422134000 is 43122401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104221340002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10422134000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409652 + ... + 434348.

Almost surely, 210422134000 is an apocalyptic number.

10422134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660589968).

10422134000 is an abundant number, since it is smaller than the sum of its proper divisors (14899045936).

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

10422134000 is a wasteful number, since it uses less digits than its factorization.

10422134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24931 (or 24915 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10422134000 its reverse (43122401), we get a palindrome (10465256401).

The spelling of 10422134000 in words is "ten billion, four hundred twenty-two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 844 1000 1055 1688 2000 2110 3376 4220 5275 8440 10550 16880 21100 24697 26375 42200 49394 52750 84400 98788 105500 123485 197576 211000 246970 395152 422000 493940 617425 987880 1234850 1975760 2469700 3087125 4939400 5211067 6174250 9878800 10422134 12348500 20844268 24697000 26055335 41688536 49394000 52110670 83377072 104221340 130276675 208442680 260553350 416885360 521106700 651383375 1042213400 1302766750 2084426800 2605533500 5211067000 10422134000