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10220021001112 = 2313243370924623
BaseRepresentation
bin1001010010111000100010…
…1110001010101110011000
31100012000122211120011200111
42110232020232022232120
52314421100334013422
633423002434414104
72103241435114036
oct224561056125630
940160584504614
1010220021001112
11329031746872a
121190860431334
135919892c6300
1427491a201556
1512aca5dd0a77
hex94b88b8ab98

10220021001112 has 96 divisors (see below), whose sum is σ = 20828070043200. Its totient is φ = 4699210733568.

The previous prime is 10220021001101. The next prime is 10220021001137. The reversal of 10220021001112 is 21110012002201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10220021001092 and 10220021001101.

It is a congruent number.

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, 415047633 + ... + 415072255.

It is an arithmetic number, because the mean of its divisors is an integer number (216959062950).

Almost surely, 210220021001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220021001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414035021600).

10220021001112 is an abundant number, since it is smaller than the sum of its proper divisors (10608049042088).

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

10220021001112 is a wasteful number, since it uses less digits than its factorization.

10220021001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25797 (or 25780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10220021001112 its reverse (21110012002201), we get a palindrome (31330033003313).

The spelling of 10220021001112 in words is "ten trillion, two hundred twenty billion, twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 433 676 709 866 1352 1418 1732 2836 3464 5629 5672 9217 11258 18434 22516 24623 36868 45032 49246 73177 73736 98492 119821 146354 196984 239642 292708 306997 320099 479284 585416 613994 640198 958568 1227988 1280396 2455976 2560792 3990961 4161287 7981922 8322574 10661759 15963844 16645148 17457707 21323518 31927688 33290296 34915414 42647036 51882493 69830828 85294072 103764986 138602867 139661656 207529972 226950191 277205734 415059944 453900382 554411468 907800764 1108822936 1801837271 1815601528 2950352483 3603674542 5900704966 7207349084 7559187131 11801409932 14414698168 15118374262 23602819864 30236748524 60473497048 98269432703 196538865406 393077730812 786155461624 1277502625139 2555005250278 5110010500556 10220021001112