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20883140100 = 22325248172
BaseRepresentation
bin10011011100101110…
…110110111000000100
31222220101022102201100
4103130232312320010
5320232040440400
613332114100100
71336334522244
oct233456667004
958811272640
1020883140100
118946a96279
12406987a630
131c7a64a244
1410216d3b24
15823567100
hex4dcbb6e04

20883140100 has 81 divisors (see below), whose sum is σ = 65470634047. Its totient is φ = 5567681280.

The previous prime is 20883140077. The next prime is 20883140123. The reversal of 20883140100 is 104138802.

The square root of 20883140100 is 144510.

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

It is an interprime number because it is at equal distance from previous prime (20883140077) and next prime (20883140123).

It can be written as a sum of positive squares in 4 ways, for example, as 7059024324 + 13824115776 = 84018^2 + 117576^2 .

It is a super-2 number, since 2×208831401002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4332892 + ... + 4337708.

Almost surely, 220883140100 is an apocalyptic number.

20883140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20883140100 is the 144510-th square number.

It is an amenable number.

20883140100 is an abundant number, since it is smaller than the sum of its proper divisors (44587493947).

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

20883140100 is an equidigital number, since it uses as much as digits as its factorization.

20883140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9654 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 20883140100 its reverse (104138802), we get a palindrome (20987278902).

The spelling of 20883140100 in words is "twenty billion, eight hundred eighty-three million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4817 9634 14451 19268 24085 28902 43353 48170 57804 72255 86706 96340 120425 144510 173412 216765 240850 289020 361275 433530 481700 722550 867060 1083825 1445100 2167650 4335300 23203489 46406978 69610467 92813956 116017445 139220934 208831401 232034890 278441868 348052335 417662802 464069780 580087225 696104670 835325604 1044157005 1160174450 1392209340 1740261675 2088314010 2320348900 3480523350 4176628020 5220785025 6961046700 10441570050 20883140100