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1020232305152 = 2997101203393
BaseRepresentation
bin11101101100010101001…
…01011000101000000000
310121112101202002000111022
432312022211120220000
5113203413432231102
62100404355005012
7133465210336304
oct16661245305000
93545352060438
101020232305152
113637505a2245
12145889899768
1375290b2ba38
143754551dd04
151b812abd5a2
hexed8a958a00

1020232305152 has 80 divisors (see below), whose sum is σ = 2079888331752. Its totient is φ = 499856179200.

The previous prime is 1020232305137. The next prime is 1020232305161. The reversal of 1020232305152 is 2515032320201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 957924157696 + 62308147456 = 978736^2 + 249616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4914368 + ... + 5117760.

Almost surely, 21020232305152 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 1020232305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039944165876).

1020232305152 is an abundant number, since it is smaller than the sum of its proper divisors (1059656026600).

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

1020232305152 is an equidigital number, since it uses as much as digits as its factorization.

1020232305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203609 (or 203593 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 1020232305152 its reverse (2515032320201), we get a palindrome (3535264625353).

The spelling of 1020232305152 in words is "one trillion, twenty billion, two hundred thirty-two million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 101 128 194 202 256 388 404 512 776 808 1552 1616 3104 3232 6208 6464 9797 12416 12928 19594 24832 25856 39188 49664 51712 78376 156752 203393 313504 406786 627008 813572 1254016 1627144 2508032 3254288 5016064 6508576 13017152 19729121 20542693 26034304 39458242 41085386 52068608 78916484 82170772 104137216 157832968 164341544 315665936 328683088 631331872 657366176 1262663744 1314732352 1992641221 2525327488 2629464704 3985282442 5050654976 5258929408 7970564884 10101309952 10517858816 15941129768 31882259536 63764519072 127529038144 255058076288 510116152576 1020232305152