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2100222121212 = 22327313719729611
BaseRepresentation
bin11110100011111110111…
…111100101010011111100
321102210001002110010020100
4132203332333211103330
5233402223330334322
64244455000521100
7304510314323205
oct36437677452374
97383032403210
102100222121212
1173a7766a8936
1229b054180190
131230860a4b87
14739192105ac
1539971990dac
hex1e8fefe54fc

2100222121212 has 144 divisors (see below), whose sum is σ = 5448602551392. Its totient is φ = 681941514240.

The previous prime is 2100222121169. The next prime is 2100222121213. The reversal of 2100222121212 is 2121212220012.

It is a happy number.

2100222121212 is a `hidden beast` number, since 210 + 0 + 2 + 221 + 21 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100222121213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70912287 + ... + 70941897.

It is an arithmetic number, because the mean of its divisors is an integer number (37837517718).

Almost surely, 22100222121212 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 2100222121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724301275696).

2100222121212 is an abundant number, since it is smaller than the sum of its proper divisors (3348380430180).

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

2100222121212 is a wasteful number, since it uses less digits than its factorization.

2100222121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30028 (or 30023 counting only the distinct ones).

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

Adding to 2100222121212 its reverse (2121212220012), we get a palindrome (4221434341224).

The spelling of 2100222121212 in words is "two trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 197 219 274 292 394 411 438 548 591 657 788 822 876 1182 1233 1314 1644 1773 2364 2466 2628 3546 4932 7092 10001 14381 20002 26989 28762 29611 30003 40004 43143 53978 57524 59222 60006 80967 86286 88833 90009 107956 118444 120012 129429 161934 172572 177666 180018 242901 258858 266499 323868 355332 360036 485802 517716 532998 971604 1065996 1970197 2161603 3940394 4056707 4323206 5833367 5910591 6484809 7880788 8113414 8646412 11666734 11821182 12170121 12969618 16226828 17500101 17731773 19454427 23333468 23642364 24340242 25939236 35000202 35463546 36510363 38908854 48680484 52500303 70000404 70927092 73020726 77817708 105000606 146041452 210001212 296139611 425835791 592279222 799171279 851671582 888418833 1184558444 1277507373 1598342558 1703343164 1776837666 2397513837 2555014746 2665256499 3196685116 3553675332 3832522119 4795027674 5110029492 5330512998 7192541511 7665044238 9590055348 10661025996 14385083022 15330088476 28770166044 58339503367 116679006734 175018510101 233358013468 350037020202 525055530303 700074040404 1050111060606 2100222121212