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2212101210112 = 214317161343
BaseRepresentation
bin100000001100001011100…
…000011100000000000000
321211110211010200200222121
4200030023200130000000
5242220340402210422
64412120354014024
7315550634021023
oct40141340340000
97743733620877
102212101210112
11783168511282
122b8878277314
131307a59935b1
14790cdbb71ba
153c81da158c7
hex2030b81c000

2212101210112 has 120 divisors (see below), whose sum is σ = 4631175585792. Its totient is φ = 1055278694400.

The previous prime is 2212101210061. The next prime is 2212101210113. The reversal of 2212101210112 is 2110121012122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212101210113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36030513 + ... + 36091855.

Almost surely, 22212101210112 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 2212101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315587792896).

2212101210112 is an abundant number, since it is smaller than the sum of its proper divisors (2419074375680).

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

2212101210112 is an frugal number, since it uses more digits than its factorization.

2212101210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61473 (or 61447 counting only the distinct ones).

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

Adding to 2212101210112 its reverse (2110121012122), we get a palindrome (4322222222234).

The spelling of 2212101210112 in words is "two trillion, two hundred twelve billion, one hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 992 1024 1136 1984 2048 2201 2272 3968 4096 4402 4544 7936 8192 8804 9088 15872 16384 17608 18176 31744 35216 36352 61343 63488 70432 72704 122686 126976 140864 145408 245372 253952 281728 290816 490744 507904 563456 581632 981488 1126912 1163264 1901633 1962976 2253824 3803266 3925952 4355353 4507648 7606532 7851904 8710706 9015296 15213064 15703808 17421412 18030592 30426128 31407616 34842824 36061184 60852256 62815232 69685648 121704512 125630464 135015943 139371296 243409024 251260928 270031886 278742592 486818048 502521856 540063772 557485184 973636096 1005043712 1080127544 1114970368 1947272192 2160255088 2229940736 3894544384 4320510176 4459881472 7789088768 8641020352 8919762944 15578177536 17282040704 17839525888 31156355072 34564081408 35679051776 69128162816 71358103552 138256325632 276512651264 553025302528 1106050605056 2212101210112