Search a number
-
+
1030488916900 = 22521015132
BaseRepresentation
bin11101111111011011110…
…11010000001110100100
310122111212112200212202111
432333231323100032210
5113340420130320100
62105222225450404
7134310322161412
oct16775573201644
93574775625674
101030488916900
11368034146483
121478707a0a04
1376236a35181
1437c397a02b2
151bc132696ba
hexefeded03a4

1030488916900 has 27 divisors (see below), whose sum is σ = 2236182978211. Its totient is φ = 412191506240.

The previous prime is 1030488916879. The next prime is 1030488916901. The reversal of 1030488916900 is 96198840301.

The square root of 1030488916900 is 1015130.

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 188778084196 + 841710832704 = 434486^2 + 917448^2 .

It is a super-2 number, since 2×10304889169002 (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 (1030488916901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10100544 + ... + 10202056.

Almost surely, 21030488916900 is an apocalyptic number.

1030488916900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1030488916900 is the 1015130-th square number.

It is an amenable number.

1030488916900 is an abundant number, since it is smaller than the sum of its proper divisors (1205694061311).

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

1030488916900 is an frugal number, since it uses more digits than its factorization.

1030488916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203040 (or 101520 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 1030488916900 by its sum of digits (49), we get a square (50493956928100 = 71059102).

The spelling of 1030488916900 in words is "one trillion, thirty billion, four hundred eighty-eight million, nine hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101513 203026 406052 507565 1015130 2030260 2537825 5075650 10151300 10304889169 20609778338 41219556676 51524445845 103048891690 206097783380 257622229225 515244458450 1030488916900