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112353610460 = 225713206929837
BaseRepresentation
bin110100010100011001…
…1000000101011011100
3101202000010010202221212
41220220303000223130
53320100011013320
6123340423443552
711055140634350
oct1505063005334
9352003122855
10112353610460
1143715758523
1219936bb65b8
13a796cc2910
14561ba09460
152dc8a589c5
hex1a28cc0adc

112353610460 has 96 divisors (see below), whose sum is σ = 290540960640. Its totient is φ = 35539688448.

The previous prime is 112353610433. The next prime is 112353610469. The reversal of 112353610460 is 64016353211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112353610469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750662 + ... + 3780498.

It is an arithmetic number, because the mean of its divisors is an integer number (3026468340).

Almost surely, 2112353610460 is an apocalyptic number.

112353610460 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 112353610460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145270480320).

112353610460 is an abundant number, since it is smaller than the sum of its proper divisors (178187350180).

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

112353610460 is a wasteful number, since it uses less digits than its factorization.

112353610460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31935 (or 31933 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 112353610460 its reverse (64016353211), we get a palindrome (176369963671).

The spelling of 112353610460 in words is "one hundred twelve billion, three hundred fifty-three million, six hundred ten thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2069 4138 8276 10345 14483 20690 26897 28966 29837 41380 53794 57932 59674 72415 107588 119348 134485 144830 149185 188279 208859 268970 289660 298370 376558 387881 417718 537940 596740 753116 775762 835436 941395 1044295 1551524 1882790 1939405 2088590 2715167 3765580 3878810 4177180 5430334 7757620 10860668 13575835 27151670 54303340 61732753 123465506 246931012 308663765 432129271 617327530 802525789 864258542 1234655060 1605051578 1728517084 2160646355 3210103156 4012628945 4321292710 5617680523 8025257890 8642585420 11235361046 16050515780 22470722092 28088402615 56176805230 112353610460