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123010313020 = 22577157121673
BaseRepresentation
bin111001010001111111…
…1000110101100111100
3102202111210121100122021
41302203333012230330
54003411120004040
6132302105525524
711613211260130
oct1624377065474
9382453540567
10123010313020
1148194129921
121ba0baa38a4
13b7a4a6ca8a
145d4d0753c0
1532ee3d524a
hex1ca3fc6b3c

123010313020 has 96 divisors (see below), whose sum is σ = 299920997376. Its totient is φ = 41506214400.

The previous prime is 123010312993. The next prime is 123010313047. The reversal of 123010313020 is 20313010321.

It is an interprime number because it is at equal distance from previous prime (123010312993) and next prime (123010313047).

It is a junction number, because it is equal to n+sod(n) for n = 123010312985 and 123010313003.

It is a congruent number.

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, 5664904 + ... + 5686576.

It is an arithmetic number, because the mean of its divisors is an integer number (3124177056).

Almost surely, 2123010313020 is an apocalyptic number.

123010313020 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 123010313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960498688).

123010313020 is an abundant number, since it is smaller than the sum of its proper divisors (176910684356).

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

123010313020 is a wasteful number, since it uses less digits than its factorization.

123010313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22331 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 123010313020 its reverse (20313010321), we get a palindrome (143323323341).

The spelling of 123010313020 in words is "one hundred twenty-three billion, ten million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 571 710 994 1142 1420 1988 2284 2485 2855 3997 4970 5710 7994 9940 11420 15988 19985 21673 39970 40541 43346 79940 81082 86692 108365 151711 162164 202705 216730 283787 303422 405410 433460 567574 606844 758555 810820 1135148 1418935 1517110 1538783 2837870 3034220 3077566 5675740 6155132 7693915 10771481 12375283 15387830 21542962 24750566 30775660 43085924 49501132 53857405 61876415 86626981 107714810 123752830 173253962 215429620 247505660 346507924 433134905 866269810 878645093 1732539620 1757290186 3514580372 4393225465 6150515651 8786450930 12301031302 17572901860 24602062604 30752578255 61505156510 123010313020