Search a number
-
+
10222200021000 = 2335311309763637
BaseRepresentation
bin1001010011000000101010…
…0110011110000000001000
31100012020021200202212000210
42110300022212132000020
52314440031201133000
633424002554401120
72103346434352512
oct224601246360010
940166250685023
1010222200021000
113291235468610
12119116a1301a0
13591c458903a6
14274a8577abb2
1512ad82356350
hex94c0a99e008

10222200021000 has 128 divisors (see below), whose sum is σ = 34792651820160. Its totient is φ = 2478109088000.

The previous prime is 10222200020983. The next prime is 10222200021017. The reversal of 10222200021000 is 12000222201.

It is an interprime number because it is at equal distance from previous prime (10222200020983) and next prime (10222200021017).

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

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, 154848819 + ... + 154914818.

It is an arithmetic number, because the mean of its divisors is an integer number (271817592345).

Almost surely, 210222200021000 is an apocalyptic number.

10222200021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222200021000 is an abundant number, since it is smaller than the sum of its proper divisors (24570451799160).

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

10222200021000 is a wasteful number, since it uses less digits than its factorization.

10222200021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309763672 (or 309763658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222200021000 its reverse (12000222201), we get a palindrome (10234200243201).

The spelling of 10222200021000 in words is "ten trillion, two hundred twenty-two billion, two hundred million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 309763637 619527274 929290911 1239054548 1548818185 1858581822 2478109096 3097636370 3407400007 3717163644 4646454555 6195272740 6814800014 7434327288 7744090925 9292909110 10222200021 12390545480 13629600028 15488181850 17037000035 18585818220 20444400042 23232272775 27259200056 30976363700 34074000070 37171636440 38720454625 40888800084 46464545550 51111000105 61952727400 68148000140 77440909250 81777600168 85185000175 92929091100 102222000210 116161363875 136296000280 154881818500 170370000350 185858182200 204444000420 232322727750 255555000525 309763637000 340740000700 408888000840 425925000875 464645455500 511110001050 681480001400 851850001750 929290911000 1022220002100 1277775002625 1703700003500 2044440004200 2555550005250 3407400007000 5111100010500 10222200021000