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112720642224 = 243231272513203
BaseRepresentation
bin110100011111010101…
…1001000000010110000
3101202221200202220212220
41220332223020002300
53321322441022344
6123441054321040
711100215435661
oct1507653100260
9352850686786
10112720642224
1143893955963
1219a19ab9180
13a825060188
14565466b368
152deada8c19
hex1a3eac80b0

112720642224 has 160 divisors (see below), whose sum is σ = 307564314624. Its totient is φ = 35503776000.

The previous prime is 112720642217. The next prime is 112720642231. The reversal of 112720642224 is 422246027211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112720642217) and next prime (112720642231).

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, 35190607 + ... + 35193809.

Almost surely, 2112720642224 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 112720642224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153782157312).

112720642224 is an abundant number, since it is smaller than the sum of its proper divisors (194843672400).

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

112720642224 is a wasteful number, since it uses less digits than its factorization.

112720642224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 112720642224 its reverse (422246027211), we get a palindrome (534966669435).

The spelling of 112720642224 in words is "one hundred twelve billion, seven hundred twenty million, six hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 127 138 184 251 254 276 368 381 502 508 552 753 762 1004 1016 1104 1506 1524 2008 2032 2921 3012 3048 3203 4016 5773 5842 6024 6096 6406 8763 9609 11546 11684 12048 12812 17319 17526 19218 23092 23368 25624 31877 34638 35052 38436 46184 46736 51248 63754 69276 70104 73669 76872 92368 95631 127508 138552 140208 147338 153744 191262 221007 255016 277104 294676 382524 406781 442014 510032 589352 733171 765048 803953 813562 884028 1178704 1220343 1466342 1530096 1607906 1627124 1768056 2199513 2411859 2440686 2932684 3215812 3254248 3536112 4399026 4823718 4881372 5865368 6431624 6508496 8798052 9355963 9647436 9762744 11730736 12863248 17596104 18490919 18711926 19294872 19525488 28067889 35192208 36981838 37423852 38589744 55472757 56135778 73963676 74847704 102102031 110945514 112271556 147927352 149695408 204204062 221891028 224543112 295854704 306306093 408408124 443782056 449086224 612612186 816816248 887564112 1225224372 1633632496 2348346713 2450448744 4696693426 4900897488 7045040139 9393386852 14090080278 18786773704 28180160556 37573547408 56360321112 112720642224