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123223203420 = 223529619114407
BaseRepresentation
bin111001011000010101…
…1001101111001011100
3102210001122012022100220
41302300223031321130
54004330120002140
6132335152521340
711621404642632
oct1626053157134
9383048168326
10123223203420
11482933165a9
121ba6b250250
13b809bbb425
145d6d451352
153312e38bd0
hex1cb0acde5c

123223203420 has 96 divisors (see below), whose sum is σ = 357502118400. Its totient is φ = 31674902784.

The previous prime is 123223203407. The next prime is 123223203431. The reversal of 123223203420 is 24302322321.

It is a super-2 number, since 2×1232232034202 (a number of 23 digits) contains 22 as substring.

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, 1019857 + ... + 1134263.

It is an arithmetic number, because the mean of its divisors is an integer number (3723980400).

Almost surely, 2123223203420 is an apocalyptic number.

123223203420 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 123223203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178751059200).

123223203420 is an abundant number, since it is smaller than the sum of its proper divisors (234278914980).

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

123223203420 is a wasteful number, since it uses less digits than its factorization.

123223203420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115067 (or 115065 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 123223203420 its reverse (24302322321), we get a palindrome (147525525741).

The spelling of 123223203420 in words is "one hundred twenty-three billion, two hundred twenty-three million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 619 870 1238 1740 1857 2476 3095 3714 6190 7428 9285 12380 17951 18570 35902 37140 53853 71804 89755 107706 114407 179510 215412 228814 269265 343221 359020 457628 538530 572035 686442 1077060 1144070 1372884 1716105 2288140 3317803 3432210 6635606 6864420 9953409 13271212 16589015 19906818 33178030 39813636 49767045 66356060 70817933 99534090 141635866 199068180 212453799 283271732 354089665 424907598 708179330 849815196 1062268995 1416358660 2053720057 2124537990 4107440114 4249075980 6161160171 8214880228 10268600285 12322320342 20537200570 24644640684 30805800855 41074401140 61611601710 123223203420