Search a number
-
+
10222121021000 = 2353713910505777
BaseRepresentation
bin1001010011000000010111…
…1001000110111001001000
31100012020002012010020101212
42110300011321012321020
52314434400440133000
633423551053232252
72103344455023020
oct224600571067110
940166065106355
1010222121021000
1132911a490a759
121191147792688
13591c323c0225
14274a79094a80
1512ad7a44dc35
hex94c05e46e48

10222121021000 has 128 divisors (see below), whose sum is σ = 27533542982400. Its totient is φ = 3479513011200.

The previous prime is 10222121020981. The next prime is 10222121021003. The reversal of 10222121021000 is 12012122201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10222121021003) 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, 4279889 + ... + 6225888.

It is an arithmetic number, because the mean of its divisors is an integer number (215105804550).

Almost surely, 210222121021000 is an apocalyptic number.

10222121021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222121021000 is an abundant number, since it is smaller than the sum of its proper divisors (17311421961400).

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

10222121021000 is a wasteful number, since it uses less digits than its factorization.

10222121021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505944 (or 10505930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222121021000 its reverse (12012122201), we get a palindrome (10234133143201).

The spelling of 10222121021000 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 139 140 175 200 250 278 280 350 500 556 695 700 875 973 1000 1112 1390 1400 1750 1946 2780 3475 3500 3892 4865 5560 6950 7000 7784 9730 13900 17375 19460 24325 27800 34750 38920 48650 69500 97300 121625 139000 194600 243250 486500 973000 10505777 21011554 42023108 52528885 73540439 84046216 105057770 147080878 210115540 262644425 294161756 367702195 420231080 525288850 588323512 735404390 1050577700 1313222125 1460303003 1470808780 1838510975 2101155400 2626444250 2920606006 2941617560 3677021950 5252888500 5841212012 7301515015 7354043900 9192554875 10222121021 10505777000 11682424024 14603030030 14708087800 18385109750 20444242042 29206060060 36507575075 36770219500 40888484084 51110605105 58412120120 73015150150 73540439000 81776968168 102221210210 146030300300 182537875375 204442420420 255553025525 292060600600 365075750750 408884840840 511106051050 730151501500 1022212102100 1277765127625 1460303003000 2044424204200 2555530255250 5111060510500 10222121021000