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2201011020 = 22325136611423
BaseRepresentation
bin1000001100110000…
…1100001101001100
312200101120221111200
42003030030031030
514001424323040
61002223145500
7105354166515
oct20314141514
95611527450
102201011020
11a2a46017a
12515145290
13290cc68b0
1416c461a0c
15cd36b630
hex8330c34c

2201011020 has 144 divisors (see below), whose sum is σ = 7205907072. Its totient is φ = 540587520.

The previous prime is 2201011009. The next prime is 2201011027. The reversal of 2201011020 is 201101022.

It is a super-2 number, since 2×22010110202 = 9688899020322880800, 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 = 2201010993 and 2201011011.

It is not an unprimeable number, because it can be changed into a prime (2201011027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546029 + ... + 1547451.

Almost surely, 22201011020 is an apocalyptic number.

2201011020 is a gapful number since it is divisible by the number (20) 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 2201011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602953536).

2201011020 is an abundant number, since it is smaller than the sum of its proper divisors (5004896052).

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

2201011020 is a wasteful number, since it uses less digits than its factorization.

2201011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201011020 is about 46914.9338697179. The cubic root of 2201011020 is about 1300.7906472437.

Adding to 2201011020 its reverse (201101022), we get a palindrome (2402112042).

The spelling of 2201011020 in words is "two billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 661 780 1170 1322 1423 1983 2340 2644 2846 3305 3966 4269 5692 5949 6610 7115 7932 8538 8593 9915 11898 12807 13220 14230 17076 17186 18499 19830 21345 23796 25614 25779 28460 29745 34372 36998 39660 42690 42965 51228 51558 55497 59490 64035 73996 77337 85380 85930 92495 103116 110994 118980 128070 128895 154674 166491 171860 184990 221988 256140 257790 277485 309348 332982 369980 386685 515580 554970 665964 773370 832455 940603 1109940 1546740 1664910 1881206 2821809 3329820 3762412 4703015 5643618 8465427 9406030 11287236 12227839 14109045 16930854 18812060 24455678 28218090 33861708 36683517 42327135 48911356 56436180 61139195 73367034 84654270 110050551 122278390 146734068 169308540 183417585 220101102 244556780 366835170 440202204 550252755 733670340 1100505510 2201011020