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112037015040 = 293593715569
BaseRepresentation
bin110100001010111101…
…1010010111000000000
3101201012001102001200120
41220111323102320000
53313422433440130
6123245154020240
711044244625546
oct1502573227000
9351161361616
10112037015040
1143572a79715
1219868b77680
13a746534252
1455cb955d96
152daad6c910
hex1a15ed2e00

112037015040 has 160 divisors (see below), whose sum is σ = 358573612320. Its totient is φ = 29842735104.

The previous prime is 112037015039. The next prime is 112037015059. The reversal of 112037015040 is 40510730211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112037015040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7188376 + ... + 7203944.

It is an arithmetic number, because the mean of its divisors is an integer number (2241085077).

Almost surely, 2112037015040 is an apocalyptic number.

112037015040 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 112037015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179286806160).

112037015040 is an abundant number, since it is smaller than the sum of its proper divisors (246536597280).

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

112037015040 is an equidigital number, since it uses as much as digits as its factorization.

112037015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16532 (or 16516 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 112037015040 its reverse (40510730211), we get a palindrome (152547745251).

The spelling of 112037015040 in words is "one hundred twelve billion, thirty-seven million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 937 960 1280 1536 1874 1920 2560 2811 3748 3840 4685 5622 7496 7680 9370 11244 14055 14992 15569 18740 22488 28110 29984 31138 37480 44976 46707 56220 59968 62276 74960 77845 89952 93414 112440 119936 124552 149920 155690 179904 186828 224880 233535 239872 249104 299840 311380 359808 373656 449760 467070 479744 498208 599680 622760 719616 747312 899520 934140 996416 1199360 1245520 1439232 1494624 1799040 1868280 1992832 2398720 2491040 2989248 3598080 3736560 3985664 4982080 5978496 7196160 7473120 7971328 9964160 11956992 14588153 14946240 19928320 23913984 29176306 29892480 39856640 43764459 58352612 59784960 72940765 87528918 116705224 119569920 145881530 175057836 218822295 233410448 291763060 350115672 437644590 466820896 583526120 700231344 875289180 933641792 1167052240 1400462688 1750578360 1867283584 2334104480 2800925376 3501156720 3734567168 4668208960 5601850752 7002313440 7469134336 9336417920 11203701504 14004626880 18672835840 22407403008 28009253760 37345671680 56018507520 112037015040