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3142112220 = 22325132103291
BaseRepresentation
bin1011101101001000…
…1101001111011100
322002222102211122200
42323102031033130
522413340042340
61235442211500
7140602341012
oct27322151734
98088384580
103142112220
111372705465
12738353b90
133b0c81100
1421b43a8b2
15135cb6330
hexbb48d3dc

3142112220 has 108 divisors (see below), whose sum is σ = 10320730056. Its totient is φ = 773435520.

The previous prime is 3142112189. The next prime is 3142112221. The reversal of 3142112220 is 222112413.

It is a happy number.

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 = 3142112193 and 3142112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142112221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21226 + ... + 82065.

Almost surely, 23142112220 is an apocalyptic number.

3142112220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3142112220 is an abundant number, since it is smaller than the sum of its proper divisors (7178617836).

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

3142112220 is a wasteful number, since it uses less digits than its factorization.

3142112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103332 (or 103314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3142112220 is about 56054.5468271754. The cubic root of 3142112220 is about 1464.6726227053.

Adding to 3142112220 its reverse (222112413), we get a palindrome (3364224633).

The spelling of 3142112220 in words is "three billion, one hundred forty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 103291 206582 309873 413164 516455 619746 929619 1032910 1239492 1342783 1549365 1859238 2065820 2685566 3098730 3718476 4028349 4648095 5371132 6197460 6713915 8056698 9296190 12085047 13427830 16113396 17456179 18592380 20141745 24170094 26855660 34912358 40283490 48340188 52368537 60425235 69824716 80566980 87280895 104737074 120850470 157105611 174561790 209474148 241700940 261842685 314211222 349123580 523685370 628422444 785528055 1047370740 1571056110 3142112220