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2114310642220 = 2257228331724049
BaseRepresentation
bin11110110001000110101…
…111000001101000101100
321111010101221111010210201
4132301012233001220230
5234120102011022340
64255144554443244
7305516405634400
oct36610657015054
97433357433721
102114310642220
11745746268227
122a1926433524
131244bcb3873a
147449436b100
1539ee875c79a
hex1ec46bc1a2c

2114310642220 has 144 divisors (see below), whose sum is σ = 5199776618400. Its totient is φ = 720036366336.

The previous prime is 2114310642187. The next prime is 2114310642221. The reversal of 2114310642220 is 222460134112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2114310642221) 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, 87904756 + ... + 87928804.

It is an arithmetic number, because the mean of its divisors is an integer number (36109559850).

Almost surely, 22114310642220 is an apocalyptic number.

2114310642220 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 2114310642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599888309200).

2114310642220 is an abundant number, since it is smaller than the sum of its proper divisors (3085465976180).

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

2114310642220 is a wasteful number, since it uses less digits than its factorization.

2114310642220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24672 (or 24663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2114310642220 its reverse (222460134112), we get a palindrome (2336770776332).

The spelling of 2114310642220 in words is "two trillion, one hundred fourteen billion, three hundred ten million, six hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 283 317 490 566 634 980 1132 1268 1415 1585 1981 2219 2830 3170 3962 4438 5660 6340 7924 8876 9905 11095 13867 15533 19810 22190 24049 27734 31066 39620 44380 48098 55468 62132 69335 77665 89711 96196 120245 138670 155330 168343 179422 240490 277340 310660 336686 358844 448555 480980 627977 673372 841715 897110 1178401 1255954 1683430 1794220 2356802 2511908 3139885 3366860 4395839 4713604 5892005 6279770 6805867 7623533 8791678 11784010 12559540 13611734 15247066 17583356 21979195 23568020 27223468 30494132 34029335 38117665 43958390 47641069 53364731 68058670 76235330 87916780 95282138 106729462 136117340 152470660 190564276 213458924 238205345 266823655 333487483 373553117 476410690 533647310 666974966 747106234 952821380 1067294620 1333949932 1494212468 1667437415 1867765585 2157459839 3334874830 3735531170 4314919678 6669749660 7471062340 8629839356 10787299195 15102218873 21574598390 30204437746 43149196780 60408875492 75511094365 105715532111 151022188730 211431064222 302044377460 422862128444 528577660555 1057155321110 2114310642220