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112411110400 = 2105241107099
BaseRepresentation
bin110100010110000111…
…0010110110000000000
3101202011010100002001021
41220230032112300000
53320204221013100
6123350240115224
711056436446561
oct1505416266000
9352133302037
10112411110400
1143745161036
1219952305b14
13a7a5ba5954
1456254d6168
152dcdb15a1a
hex1a2c396c00

112411110400 has 132 divisors (see below), whose sum is σ = 285442277400. Its totient is φ = 43867340800.

The previous prime is 112411110373. The next prime is 112411110421. The reversal of 112411110400 is 4011114211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996051 + ... + 1103149.

Almost surely, 2112411110400 is an apocalyptic number.

112411110400 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 112411110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142721138700).

112411110400 is an abundant number, since it is smaller than the sum of its proper divisors (173031167000).

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

112411110400 is a wasteful number, since it uses less digits than its factorization.

112411110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107170 (or 107147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112411110400 its reverse (4011114211), we get a palindrome (116422224611).

The spelling of 112411110400 in words is "one hundred twelve billion, four hundred eleven million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 256 320 328 400 410 512 640 656 800 820 1024 1025 1280 1312 1600 1640 2050 2560 2624 3200 3280 4100 5120 5248 6400 6560 8200 10496 12800 13120 16400 20992 25600 26240 32800 41984 52480 65600 104960 107099 131200 209920 214198 262400 428396 524800 535495 856792 1049600 1070990 1713584 2141980 2677475 3427168 4283960 4391059 5354950 6854336 8567920 8782118 10709900 13708672 17135840 17564236 21419800 21955295 27417344 34271680 35128472 42839600 43910590 54834688 68543360 70256944 85679200 87821180 109669376 109776475 137086720 140513888 171358400 175642360 219552950 274173440 281027776 342716800 351284720 439105900 548346880 562055552 685433600 702569440 878211800 1124111104 1370867200 1405138880 1756423600 2248222208 2741734400 2810277760 3512847200 4496444416 5620555520 7025694400 11241111040 14051388800 22482222080 28102777600 56205555200 112411110400