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9799020100 = 22521925212
BaseRepresentation
bin10010010000001000…
…10010111001000100
3221021220120210112101
421020010102321010
5130032022120400
64300203001444
7464554203502
oct111004227104
927256523471
109799020100
114179322921
121a95809284
13c0217c15c
1468d5a7672
153c540d56a
hex248112e44

9799020100 has 81 divisors (see below), whose sum is σ = 22485084951. Its totient is φ = 3706185600.

The previous prime is 9799020079. The next prime is 9799020139. The reversal of 9799020100 is 10209979.

The square root of 9799020100 is 98990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1230185476 + 8568834624 = 35074^2 + 92568^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9799020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18807840 + ... + 18808360.

Almost surely, 29799020100 is an apocalyptic number.

9799020100 is the 98990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9799020100

9799020100 is an abundant number, since it is smaller than the sum of its proper divisors (12686064851).

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

9799020100 is a wasteful number, since it uses less digits than its factorization.

9799020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The cubic root of 9799020100 is about 2139.9036335329.

The spelling of 9799020100 in words is "nine billion, seven hundred ninety-nine million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 521 722 950 1042 1444 1805 1900 2084 2605 3610 5210 7220 9025 9899 10420 13025 18050 19798 26050 36100 39596 49495 52100 98990 188081 197980 247475 271441 376162 494950 542882 752324 940405 989900 1085764 1357205 1880810 2714410 3761620 4702025 5157379 5428820 6786025 9404050 10314758 13572050 18808100 20629516 25786895 27144100 51573790 97990201 103147580 128934475 195980402 257868950 391960804 489951005 515737900 979902010 1959804020 2449755025 4899510050 9799020100