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2210121110112 = 25337532221509
BaseRepresentation
bin100000001010010101011…
…110111101001001100000
321211021201010210012102120
4200022111132331021200
5242202312001010422
64411152101344240
7315450601320516
oct40122536751140
97737633705376
102210121110112
117823418268a3
122b8405108080
1313054b695ca6
1478d82c1c4b6
153c754c8445c
hex202957bd260

2210121110112 has 144 divisors (see below), whose sum is σ = 6072937652880. Its totient is φ = 703268407296.

The previous prime is 2210121110063. The next prime is 2210121110143. The reversal of 2210121110112 is 2110111210122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210121110091 and 2210121110100.

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, 9866814 + ... + 10088322.

It is an arithmetic number, because the mean of its divisors is an integer number (42173178145).

Almost surely, 22210121110112 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 2210121110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036468826440).

2210121110112 is an abundant number, since it is smaller than the sum of its proper divisors (3862816542768).

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

2210121110112 is a wasteful number, since it uses less digits than its factorization.

2210121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221665 (or 221604 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2210121110112 its reverse (2110111210122), we get a palindrome (4320232320234).

The spelling of 2210121110112 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 296 318 424 444 592 636 848 888 1184 1272 1696 1776 1961 2544 2809 3552 3922 5088 5618 5883 7844 8427 11236 11766 15688 16854 22472 23532 31376 33708 44944 47064 62752 67416 89888 94128 103933 134832 188256 207866 221509 269664 311799 415732 443018 623598 664527 831464 886036 1247196 1329054 1662928 1772072 2494392 2658108 3325856 3544144 4988784 5316216 7088288 8195833 9977568 10632432 11739977 16391666 21264864 23479954 24587499 32783332 35219931 46959908 49174998 65566664 70439862 93919816 98349996 131133328 140879724 187839632 196699992 262266656 281759448 375679264 393399984 434379149 563518896 622218781 786799968 868758298 1127037792 1244437562 1303137447 1737516596 1866656343 2488875124 2606274894 3475033192 3733312686 4977750248 5212549788 6950066384 7466625372 9955500496 10425099576 13900132768 14933250744 19911000992 20850199152 23022094897 29866501488 41700398304 46044189794 59733002976 69066284691 92088379588 138132569382 184176759176 276265138764 368353518352 552530277528 736707036704 1105060555056 2210121110112