Search a number
-
+
1030020033100 = 2252232819158863
BaseRepresentation
bin11101111110100011111…
…10100110101001001100
310122110122212102010002211
432333101332212221030
5113333440112024400
62105103520000204
7134262566552302
oct16772176465114
93573585363084
101030020033100
11367913502103
1214775b760064
1376190856136
1437bd33c8272
151bbd6eeadba
hexefd1fa6a4c

1030020033100 has 72 divisors (see below), whose sum is σ = 2333165667840. Its totient is φ = 393952342080.

The previous prime is 1030020033083. The next prime is 1030020033103. The reversal of 1030020033100 is 13300200301.

It is a super-2 number, since 2×10300200331002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030020033103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6404269 + ... + 6563131.

It is an arithmetic number, because the mean of its divisors is an integer number (32405078720).

Almost surely, 21030020033100 is an apocalyptic number.

1030020033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030020033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166582833920).

1030020033100 is an abundant number, since it is smaller than the sum of its proper divisors (1303145634740).

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

1030020033100 is a wasteful number, since it uses less digits than its factorization.

1030020033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161719 (or 161712 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1030020033100 its reverse (13300200301), we get a palindrome (1043320233401).

The spelling of 1030020033100 in words is "one trillion, thirty billion, twenty million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2819 5638 11276 14095 28190 56380 64837 70475 129674 140950 158863 259348 281900 317726 324185 635452 648370 794315 1296740 1588630 1620925 3177260 3241850 3653849 3971575 6483700 7307698 7943150 14615396 15886300 18269245 36538490 73076980 91346225 182692450 365384900 447834797 895669594 1791339188 2239173985 4478347970 8956695940 10300200331 11195869925 20600400662 22391739850 41200801324 44783479700 51501001655 103002003310 206004006620 257505008275 515010016550 1030020033100