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10123422140 = 22513176137547
BaseRepresentation
bin10010110110110011…
…10010100110111100
3222010112000010110202
421123121302212330
5131213044002030
64352312023032
7505603445156
oct113331624674
928115003422
1010123422140
114325453987
121b66391a78
13c54441c20
146c06cdad6
153e3b3c745
hex25b6729bc

10123422140 has 96 divisors (see below), whose sum is σ = 24639297984. Its totient is φ = 3460239360.

The previous prime is 10123422137. The next prime is 10123422187. The reversal of 10123422140 is 4122432101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 250847 + ... + 288393.

It is an arithmetic number, because the mean of its divisors is an integer number (256659354).

Almost surely, 210123422140 is an apocalyptic number.

10123422140 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 10123422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319648992).

10123422140 is an abundant number, since it is smaller than the sum of its proper divisors (14515875844).

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

10123422140 is a wasteful number, since it uses less digits than its factorization.

10123422140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37647 (or 37645 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10123422140 its reverse (4122432101), we get a palindrome (14245854241).

The spelling of 10123422140 in words is "ten billion, one hundred twenty-three million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 170 221 244 260 305 340 442 610 793 884 1037 1105 1220 1586 2074 2210 3172 3965 4148 4420 5185 7930 10370 13481 15860 20740 26962 37547 53924 67405 75094 134810 150188 187735 269620 375470 488111 638299 750940 976222 1276598 1952444 2290367 2440555 2553196 3191495 4580734 4881110 6382990 8297887 9161468 9762220 11451835 12765980 16595774 22903670 29774771 33191548 38936239 41489435 45807340 59549542 77872478 82978870 119099084 148873855 155744956 165957740 194681195 297747710 389362390 506171107 595495420 778724780 1012342214 2024684428 2530855535 5061711070 10123422140