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3103313220 = 2232577333739
BaseRepresentation
bin1011100011111000…
…1100110101000100
322000021102122102200
42320332030311010
522323422010340
61231534434500
7136621504260
oct27076146504
98007378380
103103313220
111352815177
12727362a30
133a5c18117
1421621b0a0
151326a0330
hexb8f8cd44

3103313220 has 144 divisors (see below), whose sum is σ = 10905847680. Its totient is φ = 699591168.

The previous prime is 3103313219. The next prime is 3103313221. The reversal of 3103313220 is 223133013.

3103313220 is a `hidden beast` number, since 3 + 10 + 331 + 322 + 0 = 666.

3103313220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3103313219) and next prime (3103313221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3103313193 and 3103313202.

It is not an unprimeable number, because it can be changed into a prime (3103313221) 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, 75111 + ... + 108849.

Almost surely, 23103313220 is an apocalyptic number.

3103313220 is a gapful number since it is divisible by the number (30) 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 3103313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452923840).

3103313220 is an abundant number, since it is smaller than the sum of its proper divisors (7802534460).

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

3103313220 is a wasteful number, since it uses less digits than its factorization.

3103313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33834 (or 33829 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3103313220 is about 55707.3892764685. The cubic root of 3103313220 is about 1458.6190137980.

Adding to 3103313220 its reverse (223133013), we get a palindrome (3326446233).

It can be divided in two parts, 31033 and 13220, that added together give a triangular number (44253 = T297).

The spelling of 3103313220 in words is "three billion, one hundred three million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 105 126 140 146 180 210 219 252 292 315 365 420 438 511 630 657 730 876 1022 1095 1260 1314 1460 1533 2044 2190 2555 2628 3066 3285 4380 4599 5110 6132 6570 7665 9198 10220 13140 15330 18396 22995 30660 33739 45990 67478 91980 101217 134956 168695 202434 236173 303651 337390 404868 472346 506085 607302 674780 708519 944692 1012170 1180865 1214604 1417038 1518255 2024340 2125557 2361730 2462947 2834076 3036510 3542595 4251114 4723460 4925894 6073020 7085190 7388841 8502228 9851788 10627785 12314735 14170380 14777682 17240629 21255570 22166523 24629470 29555364 34481258 36944205 42511140 44333046 49258940 51721887 68962516 73888410 86203145 88666092 103443774 110832615 147776820 155165661 172406290 206887548 221665230 258609435 310331322 344812580 443330460 517218870 620662644 775828305 1034437740 1551656610 3103313220