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10422134140 = 22511215727431
BaseRepresentation
bin10011011010011010…
…10010010101111100
3222220100002021022011
421231031102111330
5132321031243030
64442102301004
7516161451505
oct115515222574
928810067264
1010422134140
114469028700
12202a427764
13ca12ab6a2
1470c249bac
1540ee94b2a
hex26d35257c

10422134140 has 72 divisors (see below), whose sum is σ = 24211154016. Its totient is φ = 3765590400.

The previous prime is 10422134131. The next prime is 10422134143. The reversal of 10422134140 is 4143122401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422134143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366225 + ... + 393655.

It is an arithmetic number, because the mean of its divisors is an integer number (336266028).

Almost surely, 210422134140 is an apocalyptic number.

10422134140 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 10422134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105577008).

10422134140 is an abundant number, since it is smaller than the sum of its proper divisors (13789019876).

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

10422134140 is a wasteful number, since it uses less digits than its factorization.

10422134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27619 (or 27606 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10422134140 its reverse (4143122401), we get a palindrome (14565256541).

The spelling of 10422134140 in words is "ten billion, four hundred twenty-two million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 220 242 314 484 605 628 785 1210 1570 1727 2420 3140 3454 6908 8635 17270 18997 27431 34540 37994 54862 75988 94985 109724 137155 189970 274310 301741 379940 548620 603482 1206964 1508705 3017410 3319151 4306667 6034820 6638302 8613334 13276604 16595755 17226668 21533335 33191510 43066670 47373337 66383020 86133340 94746674 189493348 236866685 473733370 521106707 947466740 1042213414 2084426828 2605533535 5211067070 10422134140