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1022210220100 = 225219432290971
BaseRepresentation
bin11101110000000000111…
…10100010000001000100
310121201111120212111201111
432320000132202001010
5113221441304020400
62101332532334404
7133565215336216
oct16700036420104
93551446774644
101022210220100
11364576024aa3
12146140174404
1375517842904
14376920aa5b6
151b8cb56c3ba
hexee007a2044

1022210220100 has 108 divisors (see below), whose sum is σ = 2390515382640. Its totient is φ = 378354110400.

The previous prime is 1022210220019. The next prime is 1022210220181. The reversal of 1022210220100 is 10220122201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022210220019) and next prime (1022210220181).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3367615 + ... + 3658585.

Almost surely, 21022210220100 is an apocalyptic number.

1022210220100 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 1022210220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195257691320).

1022210220100 is an abundant number, since it is smaller than the sum of its proper divisors (1368305162540).

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

1022210220100 is a wasteful number, since it uses less digits than its factorization.

1022210220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291090 (or 291040 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022210220100 its reverse (10220122201), we get a palindrome (1032430342301).

The spelling of 1022210220100 in words is "one trillion, twenty-two billion, two hundred ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 950 1075 1634 1849 1900 2150 3268 3698 4085 4300 7396 8170 9245 16340 18490 20425 35131 36980 40850 46225 70262 81700 92450 140524 175655 184900 290971 351310 581942 702620 878275 1163884 1454855 1756550 2909710 3513100 5528449 5819420 7274275 11056898 12511753 14548550 22113796 25023506 27642245 29097100 50047012 55284490 62558765 110568980 125117530 138211225 237723307 250235060 276422450 312793825 475446614 538005379 552844900 625587650 950893228 1076010758 1188616535 1251175300 2152021516 2377233070 2690026895 4754466140 5380053790 5943082675 10222102201 10760107580 11886165350 13450134475 20444204402 23772330700 26900268950 40888408804 51110511005 53800537900 102221022010 204442044020 255552555025 511105110050 1022210220100