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112431210352 = 24291517872039
BaseRepresentation
bin110100010110101101…
…1000001111101110000
3101202012112011020222221
41220231123001331300
53320224342212402
6123352235010424
711060102343166
oct1505533017560
9352175136887
10112431210352
114375553a46a
1219958b99a14
13a7aa0c2706
145628049236
152dd0786337
hex1a2d6c1f70

112431210352 has 80 divisors (see below), whose sum is σ = 227239027200. Its totient is φ = 53822764800.

The previous prime is 112431210343. The next prime is 112431210377. The reversal of 112431210352 is 253012134211.

It is a super-2 number, since 2×1124312103522 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 55139349 + ... + 55141387.

It is an arithmetic number, because the mean of its divisors is an integer number (2840487840).

Almost surely, 2112431210352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112431210352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113619513600).

112431210352 is an abundant number, since it is smaller than the sum of its proper divisors (114807816848).

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

112431210352 is a wasteful number, since it uses less digits than its factorization.

112431210352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 112431210352 its reverse (253012134211), we get a palindrome (365443344563).

The spelling of 112431210352 in words is "one hundred twelve billion, four hundred thirty-one million, two hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 151 232 302 464 604 787 1208 1574 2039 2416 3148 4078 4379 6296 8156 8758 12592 16312 17516 22823 32624 35032 45646 59131 70064 91292 118262 118837 182584 236524 237674 307889 365168 473048 475348 615778 946096 950696 1231556 1604693 1901392 2463112 3209386 3446273 4926224 6418772 6892546 8928781 12837544 13785092 17857562 25675088 27570184 35715124 46536097 55140368 71430248 93072194 142860496 186144388 242308643 372288776 484617286 744577552 969234572 1938469144 3876938288 7026950647 14053901294 28107802588 56215605176 112431210352