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2211022022112 = 2532107157457001
BaseRepresentation
bin100000001011001011001…
…011101010010111100000
321211101000221000021100200
4200023023023222113200
5242211133114201422
64411421323145200
7315512121045231
oct40131313522740
97741027007320
102211022022112
11782764321372
122b8616975200
1313066321b807
147902a735088
153c7a8de12ac
hex202cb2ea5e0

2211022022112 has 144 divisors (see below), whose sum is σ = 6386793062832. Its totient is φ = 725467392000.

The previous prime is 2211022022101. The next prime is 2211022022249. The reversal of 2211022022112 is 2112202201122.

It is a happy number.

2211022022112 is a `hidden beast` number, since 2 + 211 + 0 + 220 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4609612 + ... + 5066612.

It is an arithmetic number, because the mean of its divisors is an integer number (44352729603).

Almost surely, 22211022022112 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 2211022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193396531416).

2211022022112 is an abundant number, since it is smaller than the sum of its proper divisors (4175771040720).

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

2211022022112 is a wasteful number, since it uses less digits than its factorization.

2211022022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457281 (or 457270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211022022112 its reverse (2112202201122), we get a palindrome (4323224223234).

The spelling of 2211022022112 in words is "two trillion, two hundred eleven billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 157 214 288 314 321 428 471 628 642 856 942 963 1256 1284 1413 1712 1884 1926 2512 2568 2826 3424 3768 3852 5024 5136 5652 7536 7704 10272 11304 15072 15408 16799 22608 30816 33598 45216 50397 67196 100794 134392 151191 201588 268784 302382 403176 457001 537568 604764 806352 914002 1209528 1371003 1612704 1828004 2419056 2742006 3656008 4113009 4838112 5484012 7312016 8226018 10968024 14624032 16452036 21936048 32904072 43872096 48899107 65808144 71749157 97798214 131616288 143498314 146697321 195596428 215247471 286996628 293394642 391192856 430494942 440091963 573993256 586789284 645742413 782385712 860989884 880183926 1147986512 1173578568 1291484826 1564771424 1721979768 1760367852 2295973024 2347157136 2582969652 3443959536 3520735704 4694314272 5165939304 6887919072 7041471408 7677159799 10331878608 14082942816 15354319598 20663757216 23031479397 30708639196 46062958794 61417278392 69094438191 92125917588 122834556784 138188876382 184251835176 245669113568 276377752764 368503670352 552755505528 737007340704 1105511011056 2211022022112