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1016326096900 = 225273213812
BaseRepresentation
bin11101100101000011100…
…00011000100000000100
310121011022111212002010121
432302201300120200010
5113122413440100100
62054521015231324
7133266336200122
oct16624160304004
93534274762117
101016326096900
1136202664a164
12144b79678544
1374aba7890ca
1437294822912
151b684bc351a
hexeca1c18804

1016326096900 has 81 divisors (see below), whose sum is σ = 2237673148893. Its totient is φ = 400671187200.

The previous prime is 1016326096871. The next prime is 1016326096909. The reversal of 1016326096900 is 96906236101.

The square root of 1016326096900 is 1008130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 628585751556 + 387740345344 = 792834^2 + 622688^2 .

It is a super-2 number, since 2×10163260969002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016326096909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 735934210 + ... + 735935590.

Almost surely, 21016326096900 is an apocalyptic number.

1016326096900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1016326096900 is the 1008130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016326096900

1016326096900 is an abundant number, since it is smaller than the sum of its proper divisors (1221347051993).

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

1016326096900 is an frugal number, since it uses more digits than its factorization.

1016326096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 1016326096900 in words is "one trillion, sixteen billion, three hundred twenty-six million, ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1381 1460 1825 2762 3650 5329 5524 6905 7300 10658 13810 21316 26645 27620 34525 53290 69050 100813 106580 133225 138100 201626 266450 403252 504065 532900 1008130 1907161 2016260 2520325 3814322 5040650 7359349 7628644 9535805 10081300 14718698 19071610 29437396 36796745 38143220 47679025 73593490 95358050 139222753 147186980 183983725 190716100 278445506 367967450 556891012 696113765 735934900 1392227530 2784455060 3480568825 6961137650 10163260969 13922275300 20326521938 40653043876 50816304845 101632609690 203265219380 254081524225 508163048450 1016326096900