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2221001000112 = 2433110154727017
BaseRepresentation
bin100000010100011101111…
…110011100010010110000
321212022210101012212201110
4200110131332130102300
5242342102224000422
64420151435233320
7316314322003446
oct40243576342260
97768711185643
102221001000112
11786a15188224
122ba5408a8840
1313159375861b
14796d5b84b96
153cb8eeea60c
hex2051df9c4b0

2221001000112 has 160 divisors (see below), whose sum is σ = 5992466171904. Its totient is φ = 708035328000.

The previous prime is 2221001000089. The next prime is 2221001000129. The reversal of 2221001000112 is 2110001001222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82194028 + ... + 82221044.

Almost surely, 22221001000112 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 2221001000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996233085952).

2221001000112 is an abundant number, since it is smaller than the sum of its proper divisors (3771465171792).

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

2221001000112 is a wasteful number, since it uses less digits than its factorization.

2221001000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27707 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2221001000112 its reverse (2110001001222), we get a palindrome (4331002001334).

The spelling of 2221001000112 in words is "two trillion, two hundred twenty-one billion, one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 248 303 372 404 496 547 606 744 808 1094 1212 1488 1616 1641 2188 2424 3131 3282 4376 4848 6262 6564 8752 9393 12524 13128 16957 18786 25048 26256 27017 33914 37572 50096 50871 54034 55247 67828 75144 81051 101742 108068 110494 135656 150288 162102 165741 203484 216136 220988 271312 324204 331482 406968 432272 441976 648408 662964 813936 837527 883952 1296816 1325928 1675054 1712657 2512581 2651856 2728717 3350108 3425314 5025162 5137971 5457434 6700216 6850628 8186151 10050324 10275942 10914868 13400432 13701256 14778299 16372302 20100648 20551884 21829736 27402512 29556598 32744604 40201296 41103768 43659472 44334897 59113196 65489208 82207536 84590227 88669794 118226392 130978416 169180454 177339588 236452784 253770681 338360908 354679176 458127269 507541362 676721816 709358352 916254538 1015082724 1353443632 1374381807 1492608199 1832509076 2030165448 2748763614 2985216398 3665018152 4060330896 4477824597 5497527228 5970432796 7330036304 8955649194 10995054456 11940865592 17911298388 21990108912 23881731184 35822596776 46270854169 71645193552 92541708338 138812562507 185083416676 277625125014 370166833352 555250250028 740333666704 1110500500056 2221001000112