Search a number
-
+
1030111020 = 22355792683
BaseRepresentation
bin111101011001100…
…011111100101100
32122210100001200000
4331121203330230
54102202023040
6250114504300
734345541061
oct7531437454
92583301600
101030111020
1148951a724
12248b95090
13135550863
149ab48c68
156067d130
hex3d663f2c

1030111020 has 144 divisors (see below), whose sum is σ = 3282639360. Its totient is φ = 271118016.

The previous prime is 1030111007. The next prime is 1030111037. The reversal of 1030111020 is 201110301.

It is a super-2 number, since 2×10301110202 = 2122257427050880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1030110993 and 1030111011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382599 + ... + 385281.

Almost surely, 21030111020 is an apocalyptic number.

1030111020 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 1030111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641319680).

1030111020 is an abundant number, since it is smaller than the sum of its proper divisors (2252528340).

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

1030111020 is a wasteful number, since it uses less digits than its factorization.

1030111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1030111020 is about 32095.3426527900. The cubic root of 1030111020 is about 1009.9379173028.

Adding to 1030111020 its reverse (201110301), we get a palindrome (1231221321).

It can be divided in two parts, 10301 and 11020, that added together give a triangular number (21321 = T206).

The spelling of 1030111020 in words is "one billion, thirty million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 243 270 316 324 395 405 474 486 540 711 790 810 948 972 1185 1215 1422 1580 1620 2133 2370 2430 2683 2844 3555 4266 4740 4860 5366 6399 7110 8049 8532 10665 10732 12798 13415 14220 16098 19197 21330 24147 25596 26830 31995 32196 38394 40245 42660 48294 53660 63990 72441 76788 80490 95985 96588 120735 127980 144882 160980 191970 211957 217323 241470 289764 362205 383940 423914 434646 482940 635871 651969 724410 847828 869292 1059785 1086615 1271742 1303938 1448820 1907613 2119570 2173230 2543484 2607876 3179355 3259845 3815226 4239140 4346460 5722839 6358710 6519690 7630452 9538065 11445678 12717420 13039380 17168517 19076130 22891356 28614195 34337034 38152260 51505551 57228390 68674068 85842585 103011102 114456780 171685170 206022204 257527755 343370340 515055510 1030111020