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10222101001340 = 22519711812093243
BaseRepresentation
bin1001010011000000010010…
…1100101111010001111100
31100012020000210110010120222
42110300010230233101330
52314434330324020330
633423545100200512
72103344122612454
oct224600454572174
940166023403528
1010222101001340
113291194586688
121191140b39138
13591c2b200b87
14274a76562d64
1512ad787e70e5
hex94c04b2f47c

10222101001340 has 96 divisors (see below), whose sum is σ = 23041090275840. Its totient is φ = 3797978284800.

The previous prime is 10222101001339. The next prime is 10222101001361. The reversal of 10222101001340 is 4310010122201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836759 + ... + 5930001.

It is an arithmetic number, because the mean of its divisors is an integer number (240011357040).

Almost surely, 210222101001340 is an apocalyptic number.

10222101001340 is a gapful number since it is divisible by the number (10) 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 10222101001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520545137920).

10222101001340 is an abundant number, since it is smaller than the sum of its proper divisors (12818989274500).

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

10222101001340 is a wasteful number, since it uses less digits than its factorization.

10222101001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093523 (or 2093521 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10222101001340 its reverse (4310010122201), we get a palindrome (14532111123541).

The spelling of 10222101001340 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 181 190 284 355 362 380 710 724 905 1349 1420 1810 2698 3439 3620 5396 6745 6878 12851 13490 13756 17195 25702 26980 34390 51404 64255 68780 128510 244169 257020 488338 976676 1220845 2093243 2441690 4186486 4883380 8372972 10466215 20932430 39771617 41864860 79543234 148620253 159086468 198858085 297240506 378876983 397716170 594481012 743101265 757753966 795432340 1486202530 1515507932 1894384915 2823784807 2972405060 3788769830 5647569614 7198662677 7577539660 11295139228 14118924035 14397325354 26900265793 28237848070 28794650708 35993313385 53800531586 56475696140 71986626770 107601063172 134501328965 143973253540 269002657930 511105050067 538005315860 1022210100134 2044420200268 2555525250335 5111050500670 10222101001340