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112122000101100 = 2235211140159242413
BaseRepresentation
bin11001011111100101101111…
…111111001100111011101100
3112200222202110222002220111010
4121133211233333030323230
5104144001324011213400
61034244045154225220
732421355454002563
oct3137455777147354
9480882428086433
10112122000101100
11327a8745051710
12106a9bb2b85210
134a740a0201262
141d98a3b61abda
15ce683d078450
hex65f96ffcceec

112122000101100 has 144 divisors (see below), whose sum is σ = 353901788835840. Its totient is φ = 27180784876800.

The previous prime is 112122000101081. The next prime is 112122000101147. The reversal of 112122000101100 is 1101000221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 462403494 + ... + 462645906.

It is an arithmetic number, because the mean of its divisors is an integer number (2457651311360).

Almost surely, 2112122000101100 is an apocalyptic number.

112122000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122000101100 is an abundant number, since it is smaller than the sum of its proper divisors (241779788734740).

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

112122000101100 is a wasteful number, since it uses less digits than its factorization.

112122000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382600 (or 382593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112122000101100 its reverse (1101000221211), we get a palindrome (113223000322311).

The spelling of 112122000101100 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 140159 242413 280318 420477 484826 560636 700795 727239 840954 969652 1212065 1401590 1454478 1541749 1681908 2102385 2424130 2666543 2803180 2908956 3083498 3503975 3636195 4204770 4625247 4848260 5333086 6060325 6166996 7007950 7272390 7708745 7999629 8409540 9250494 10511925 10666172 12120650 13332715 14015900 14544780 15417490 15999258 18180975 18500988 21023850 23126235 24241300 26665430 30834980 31998516 36361950 38543725 39998145 42047700 46252470 53330860 66663575 72723900 77087450 79996290 92504940 115631175 133327150 154174900 159992580 199990725 231262350 266654300 399981450 462524700 799962900 33976363667 67952727334 101929091001 135905454668 169881818335 203858182002 339763636670 373740000337 407716364004 509645455005 679527273340 747480000674 849409091675 1019290910010 1121220001011 1494960001348 1698818183350 1868700001685 2038581820020 2242440002022 2548227275025 3397636366700 3737400003370 4484880004044 5096454550050 5606100005055 7474800006740 9343500008425 10192909100100 11212200010110 18687000016850 22424400020220 28030500025275 37374000033700 56061000050550 112122000101100