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10220221200 = 2435271216693
BaseRepresentation
bin10011000010010110…
…00011001100010000
3222101021011000211010
421201023003030100
5131412334034300
64410050450520
7511160306160
oct114113031420
928337130733
1010220221200
114375059502
121b92893a40
13c6b504787
146cd4ca5a0
153ec3ada50
hex2612c3310

10220221200 has 120 divisors (see below), whose sum is σ = 37415773888. Its totient is φ = 2336048640.

The previous prime is 10220221183. The next prime is 10220221229. The reversal of 10220221200 is 212202201.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 599947 + ... + 616746.

Almost surely, 210220221200 is an apocalyptic number.

10220221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220221200 is an abundant number, since it is smaller than the sum of its proper divisors (27195552688).

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

10220221200 is a wasteful number, since it uses less digits than its factorization.

10220221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216721 (or 1216710 counting only the distinct ones).

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

Adding to 10220221200 its reverse (212202201), we get a palindrome (10432423401).

The spelling of 10220221200 in words is "ten billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1216693 2433386 3650079 4866772 6083465 7300158 8516851 9733544 12166930 14600316 17033702 18250395 19467088 24333860 25550553 29200632 30417325 34067404 36500790 42584255 48667720 51101106 58401264 60834650 68134808 73001580 85168510 91251975 97335440 102202212 121669300 127752765 136269616 146003160 170337020 182503950 204404424 212921275 243338600 255505530 292006320 340674040 365007900 408808848 425842550 486677200 511011060 638763825 681348080 730015800 851685100 1022022120 1277527650 1460031600 1703370200 2044044240 2555055300 3406740400 5110110600 10220221200