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2122002211000 = 23537756140093
BaseRepresentation
bin11110111000010001001…
…100000010000010111000
321111212020222112022121111
4132320101030002002320
5234231330031223000
64302500115450104
7306211123121230
oct36702114020270
97455228468544
102122002211000
11748a32a22741
122a33122b6934
131251474bb279
14749c3aa8cc0
153a2e8b30cba
hex1ee113020b8

2122002211000 has 128 divisors (see below), whose sum is σ = 5675732300160. Its totient is φ = 727429248000.

The previous prime is 2122002210989. The next prime is 2122002211003. The reversal of 2122002211000 is 1122002212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122002211003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52906954 + ... + 52947046.

It is an arithmetic number, because the mean of its divisors is an integer number (44341658595).

Almost surely, 22122002211000 is an apocalyptic number.

2122002211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837866150080).

2122002211000 is an abundant number, since it is smaller than the sum of its proper divisors (3553730089160).

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

2122002211000 is a wasteful number, since it uses less digits than its factorization.

2122002211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47682 (or 47668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2122002211000 its reverse (1122002212), we get a palindrome (2123124213212).

The spelling of 2122002211000 in words is "two trillion, one hundred twenty-two billion, two million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 7561 15122 30244 37805 40093 52927 60488 75610 80186 105854 151220 160372 189025 200465 211708 264635 280651 302440 320744 378050 400930 423416 529270 561302 756100 801860 945125 1002325 1058540 1122604 1323175 1403255 1512200 1603720 1890250 2004650 2117080 2245208 2646350 2806510 3780500 4009300 5011625 5292700 5613020 6615875 7016275 7561000 8018600 10023250 10585400 11226040 13231750 14032550 20046500 26463500 28065100 35081375 40093000 52927000 56130200 70162750 140325500 280651000 303143173 606286346 1212572692 1515715865 2122002211 2425145384 3031431730 4244004422 6062863460 7578579325 8488008844 10610011055 12125726920 15157158650 16976017688 21220022110 30314317300 37892896625 42440044220 53050055275 60628634600 75785793250 84880088440 106100110550 151571586500 212200221100 265250276375 303143173000 424400442200 530500552750 1061001105500 2122002211000