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3133311012 = 223513673701
BaseRepresentation
bin1011101011000010…
…1000100000100100
322002100212200200000
42322300220200210
522404111423022
61234525421300
7140434463346
oct27260504044
98070780600
103133311012
111368743a37
1273540a830
133ac1bc0b0
1421a1c9296
151351286ac
hexbac28824

3133311012 has 144 divisors (see below), whose sum is σ = 8979926592. Its totient is φ = 949449600.

The previous prime is 3133310989. The next prime is 3133311043. The reversal of 3133311012 is 2101133313.

It is a happy number.

3133311012 is a `hidden beast` number, since 313 + 331 + 10 + 12 = 666.

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

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, 844762 + ... + 848462.

Almost surely, 23133311012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489963296).

3133311012 is an abundant number, since it is smaller than the sum of its proper divisors (5846615580).

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

3133311012 is a wasteful number, since it uses less digits than its factorization.

3133311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3133311012 is about 55975.9860297253. The cubic root of 3133311012 is about 1463.3038042942.

Adding to 3133311012 its reverse (2101133313), we get a palindrome (5234444325).

The spelling of 3133311012 in words is "three billion, one hundred thirty-three million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 81 108 117 134 156 162 201 234 243 268 324 351 402 468 486 603 702 804 871 972 1053 1206 1404 1742 1809 2106 2412 2613 3159 3484 3618 3701 4212 5226 5427 6318 7236 7402 7839 10452 10854 11103 12636 14804 15678 16281 21708 22206 23517 31356 32562 33309 44412 47034 48113 65124 66618 70551 94068 96226 99927 133236 141102 144339 192452 199854 211653 247967 282204 288678 299781 399708 423306 433017 495934 577356 599562 743901 846612 866034 899343 991868 1199124 1299051 1487802 1732068 1798686 2231703 2598102 2975604 3223571 3597372 3897153 4463406 5196204 6447142 6695109 7794306 8926812 9670713 11691459 12894284 13390218 15588612 19341426 20085327 23382918 26780436 29012139 38682852 40170654 46765836 58024278 60255981 80341308 87036417 116048556 120511962 174072834 241023924 261109251 348145668 522218502 783327753 1044437004 1566655506 3133311012