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2000112120048 = 243731320359951
BaseRepresentation
bin11101000110101111111…
…110001111000011110000
321002012122020211010202110
4131012233332033003300
5230232212200320143
64130501104045320
7264334433336460
oct35065776170360
97065566733673
102000112120048
11701274170289
12283775603840
131167c085c6b3
146cb3d717ba0
1537062c78533
hex1d1aff8f0f0

2000112120048 has 160 divisors (see below), whose sum is σ = 6097584586752. Its totient is φ = 552844512000.

The previous prime is 2000112120047. The next prime is 2000112120059. The reversal of 2000112120048 is 8400212110002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000112120043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33332473 + ... + 33392423.

Almost surely, 22000112120048 is an apocalyptic number.

2000112120048 is a gapful number since it is divisible by the number (28) 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 2000112120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048792293376).

2000112120048 is an abundant number, since it is smaller than the sum of its proper divisors (4097472466704).

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

2000112120048 is a wasteful number, since it uses less digits than its factorization.

2000112120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63203 (or 63197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2000112120048 in words is "two trillion, one hundred twelve million, one hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3203 3472 5208 6406 9609 10416 12812 19218 22421 25624 38436 44842 51248 59951 67263 76872 89684 99293 119902 134526 153744 179368 179853 198586 239804 269052 297879 358736 359706 397172 419657 479608 538104 595758 695051 719412 794344 839314 959216 1076208 1191516 1258971 1390102 1438824 1588688 1678628 1858481 2085153 2383032 2517942 2780204 2877648 3357256 3716962 4170306 4766064 5035884 5560408 5575443 6714512 7433924 8340612 10071768 11120816 11150886 13009367 14867848 16681224 20143536 22301772 26018734 29735696 33362448 39028101 44603544 52037468 78056202 89207088 104074936 156112404 192023053 208149872 312224808 384046106 576069159 624449616 768092212 1152138318 1344161371 1536184424 2304276636 2688322742 3072368848 4032484113 4608553272 5376645484 5952714643 8064968226 9217106544 10753290968 11905429286 16129936452 17858143929 21506581936 23810858572 32259872904 35716287858 41669002501 47621717144 64519745808 71432575716 83338005002 95243434288 125007007503 142865151432 166676010004 250014015006 285730302864 333352020008 500028030012 666704040016 1000056060024 2000112120048