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112100023420 = 225721149121179
BaseRepresentation
bin110100001100110101…
…1101001110001111100
3101201100102222012221021
41220121223221301330
53314040101222140
6123255324313524
711045641322500
oct1503153516174
9351312865837
10112100023420
11435a55a4860
12198860a28a4
13a7565c5608
1455d6078300
152db1666b4a
hex1a19ae9c7c

112100023420 has 144 divisors (see below), whose sum is σ = 299361847680. Its totient is φ = 34867459200.

The previous prime is 112100023417. The next prime is 112100023489. The reversal of 112100023420 is 24320001211.

It is a junction number, because it is equal to n+sod(n) for n = 112100023394 and 112100023403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5282391 + ... + 5303569.

It is an arithmetic number, because the mean of its divisors is an integer number (2078901720).

Almost surely, 2112100023420 is an apocalyptic number.

112100023420 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 112100023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149680923840).

112100023420 is an abundant number, since it is smaller than the sum of its proper divisors (187261824260).

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

112100023420 is a wasteful number, since it uses less digits than its factorization.

112100023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21704 (or 21695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112100023420 its reverse (24320001211), we get a palindrome (136420024631).

The spelling of 112100023420 in words is "one hundred twelve billion, one hundred million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 491 539 770 980 982 1078 1540 1964 2156 2455 2695 3437 4910 5390 5401 6874 9820 10780 10802 13748 17185 21179 21604 24059 27005 34370 37807 42358 48118 54010 68740 75614 84716 96236 105895 108020 120295 148253 151228 189035 211790 232969 240590 264649 296506 378070 423580 465938 481180 529298 593012 741265 756140 931876 1037771 1058596 1164845 1323245 1482530 1630783 2075542 2329690 2646490 2965060 3261566 4151084 4659380 5188855 5292980 6523132 8153915 10377710 10398889 11415481 16307830 20755420 20797778 22830962 32615660 41595556 45661924 51994445 57077405 72792223 103988890 114154810 114387779 145584446 207977780 228309620 228775558 291168892 363961115 457551116 509545561 571938895 727922230 800714453 1019091122 1143877790 1455844460 1601428906 2038182244 2287755580 2547727805 3202857812 4003572265 5095455610 5605001171 8007144530 10190911220 11210002342 16014289060 22420004684 28025005855 56050011710 112100023420